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Finding the Fourth Proportional to 10,602.56, 15,904 and 3,677.20

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Solution

The fourth proportional to 10,602.56, 15,904 and 3,677.20 is: 5,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.56 : 15,904 = 3,677.20 : x
  2. Step 2: Convert to fraction form
    10,602.56/15,904 = 3,677.20/x
  3. Step 3: Cross multiply
    10,602.56x = 15,904 × 3,677.20
  4. Step 4: Simplify right side
    10,602.56x = 58,482,188.80
  5. Step 5: Solve for x
    x = 58,482,188.80/10,602.56
  6. Step 6: Final answer
    x = 5,515.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.