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Finding the Fourth Proportional to 29,123.52, 43,685.64 and 8,347

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Solution

The fourth proportional to 29,123.52, 43,685.64 and 8,347 is: 12,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.52 : 43,685.64 = 8,347 : x
  2. Step 2: Convert to fraction form
    29,123.52/43,685.64 = 8,347/x
  3. Step 3: Cross multiply
    29,123.52x = 43,685.64 × 8,347
  4. Step 4: Simplify right side
    29,123.52x = 364,644,037.08
  5. Step 5: Solve for x
    x = 364,644,037.08/29,123.52
  6. Step 6: Final answer
    x = 12,520.60

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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.