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Finding the Fourth Proportional to 13,510.14, 18,642.09 and 7,540.98

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Solution

The fourth proportional to 13,510.14, 18,642.09 and 7,540.98 is: 10,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.14 : 18,642.09 = 7,540.98 : x
  2. Step 2: Convert to fraction form
    13,510.14/18,642.09 = 7,540.98/x
  3. Step 3: Cross multiply
    13,510.14x = 18,642.09 × 7,540.98
  4. Step 4: Simplify right side
    13,510.14x = 140,579,627.85
  5. Step 5: Solve for x
    x = 140,579,627.85/13,510.14
  6. Step 6: Final answer
    x = 10,405.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.