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Finding the Fourth Proportional to 13,670.33, 18,865.13 and 7,702.10

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Solution

The fourth proportional to 13,670.33, 18,865.13 and 7,702.10 is: 10,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.33 : 18,865.13 = 7,702.10 : x
  2. Step 2: Convert to fraction form
    13,670.33/18,865.13 = 7,702.10/x
  3. Step 3: Cross multiply
    13,670.33x = 18,865.13 × 7,702.10
  4. Step 4: Simplify right side
    13,670.33x = 145,300,984.94
  5. Step 5: Solve for x
    x = 145,300,984.94/13,670.33
  6. Step 6: Final answer
    x = 10,628.93

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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.