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Finding the Fourth Proportional to 10,308.78, 15,463.14 and 3,734.94

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Solution

The fourth proportional to 10,308.78, 15,463.14 and 3,734.94 is: 5,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.78 : 15,463.14 = 3,734.94 : x
  2. Step 2: Convert to fraction form
    10,308.78/15,463.14 = 3,734.94/x
  3. Step 3: Cross multiply
    10,308.78x = 15,463.14 × 3,734.94
  4. Step 4: Simplify right side
    10,308.78x = 57,753,900.11
  5. Step 5: Solve for x
    x = 57,753,900.11/10,308.78
  6. Step 6: Final answer
    x = 5,602.40

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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.