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Finding the Fourth Proportional to 14,159.53, 19,540.24 and 7,786.25

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Solution

The fourth proportional to 14,159.53, 19,540.24 and 7,786.25 is: 10,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.53 : 19,540.24 = 7,786.25 : x
  2. Step 2: Convert to fraction form
    14,159.53/19,540.24 = 7,786.25/x
  3. Step 3: Cross multiply
    14,159.53x = 19,540.24 × 7,786.25
  4. Step 4: Simplify right side
    14,159.53x = 152,145,204.77
  5. Step 5: Solve for x
    x = 152,145,204.77/14,159.53
  6. Step 6: Final answer
    x = 10,745.07

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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.