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Finding the Fourth Proportional to 10,402.32, 15,604.24 and 3,476.80

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Solution

The fourth proportional to 10,402.32, 15,604.24 and 3,476.80 is: 5,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.32 : 15,604.24 = 3,476.80 : x
  2. Step 2: Convert to fraction form
    10,402.32/15,604.24 = 3,476.80/x
  3. Step 3: Cross multiply
    10,402.32x = 15,604.24 × 3,476.80
  4. Step 4: Simplify right side
    10,402.32x = 54,252,821.63
  5. Step 5: Solve for x
    x = 54,252,821.63/10,402.32
  6. Step 6: Final answer
    x = 5,215.45

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