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Finding the Fourth Proportional to 29,236, 43,854 and 8,461.12

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Solution

The fourth proportional to 29,236, 43,854 and 8,461.12 is: 12,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,236 : 43,854 = 8,461.12 : x
  2. Step 2: Convert to fraction form
    29,236/43,854 = 8,461.12/x
  3. Step 3: Cross multiply
    29,236x = 43,854 × 8,461.12
  4. Step 4: Simplify right side
    29,236x = 371,053,956.48
  5. Step 5: Solve for x
    x = 371,053,956.48/29,236
  6. Step 6: Final answer
    x = 12,691.68

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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.