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Finding the Fourth Proportional to 47,754, 71,631 and 26,979.12

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Solution

The fourth proportional to 47,754, 71,631 and 26,979.12 is: 40,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754 : 71,631 = 26,979.12 : x
  2. Step 2: Convert to fraction form
    47,754/71,631 = 26,979.12/x
  3. Step 3: Cross multiply
    47,754x = 71,631 × 26,979.12
  4. Step 4: Simplify right side
    47,754x = 1,932,541,344.72
  5. Step 5: Solve for x
    x = 1,932,541,344.72/47,754
  6. Step 6: Final answer
    x = 40,468.68

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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.