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Finding the Fourth Proportional to 15,429.90, 23,139.45 and 8,031.90

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Solution

The fourth proportional to 15,429.90, 23,139.45 and 8,031.90 is: 12,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.90 : 23,139.45 = 8,031.90 : x
  2. Step 2: Convert to fraction form
    15,429.90/23,139.45 = 8,031.90/x
  3. Step 3: Cross multiply
    15,429.90x = 23,139.45 × 8,031.90
  4. Step 4: Simplify right side
    15,429.90x = 185,853,748.46
  5. Step 5: Solve for x
    x = 185,853,748.46/15,429.90
  6. Step 6: Final answer
    x = 12,045.04

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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.