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Finding the Fourth Proportional to 10,329.12, 15,491.52 and 3,402

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Solution

The fourth proportional to 10,329.12, 15,491.52 and 3,402 is: 5,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.12 : 15,491.52 = 3,402 : x
  2. Step 2: Convert to fraction form
    10,329.12/15,491.52 = 3,402/x
  3. Step 3: Cross multiply
    10,329.12x = 15,491.52 × 3,402
  4. Step 4: Simplify right side
    10,329.12x = 52,702,151.04
  5. Step 5: Solve for x
    x = 52,702,151.04/10,329.12
  6. Step 6: Final answer
    x = 5,102.29

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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.