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Finding the Fourth Proportional to 49,491, 74,240.82 and 12,555

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Solution

The fourth proportional to 49,491, 74,240.82 and 12,555 is: 18,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491 : 74,240.82 = 12,555 : x
  2. Step 2: Convert to fraction form
    49,491/74,240.82 = 12,555/x
  3. Step 3: Cross multiply
    49,491x = 74,240.82 × 12,555
  4. Step 4: Simplify right side
    49,491x = 932,093,495.10
  5. Step 5: Solve for x
    x = 932,093,495.10/49,491
  6. Step 6: Final answer
    x = 18,833.60

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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.