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Finding the Fourth Proportional to 10,009.34, 15,006.02 and 5,008.40

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Solution

The fourth proportional to 10,009.34, 15,006.02 and 5,008.40 is: 7,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.34 : 15,006.02 = 5,008.40 : x
  2. Step 2: Convert to fraction form
    10,009.34/15,006.02 = 5,008.40/x
  3. Step 3: Cross multiply
    10,009.34x = 15,006.02 × 5,008.40
  4. Step 4: Simplify right side
    10,009.34x = 75,156,150.57
  5. Step 5: Solve for x
    x = 75,156,150.57/10,009.34
  6. Step 6: Final answer
    x = 7,508.60

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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.