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Finding the Fourth Proportional to 29,143.86, 43,714.76 and 9,421.90

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Solution

The fourth proportional to 29,143.86, 43,714.76 and 9,421.90 is: 14,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,143.86 : 43,714.76 = 9,421.90 : x
  2. Step 2: Convert to fraction form
    29,143.86/43,714.76 = 9,421.90/x
  3. Step 3: Cross multiply
    29,143.86x = 43,714.76 × 9,421.90
  4. Step 4: Simplify right side
    29,143.86x = 411,876,097.24
  5. Step 5: Solve for x
    x = 411,876,097.24/29,143.86
  6. Step 6: Final answer
    x = 14,132.52

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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.