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Finding the Fourth Proportional to 49,490, 74,239.32 and 12,554

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Solution

The fourth proportional to 49,490, 74,239.32 and 12,554 is: 18,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490 : 74,239.32 = 12,554 : x
  2. Step 2: Convert to fraction form
    49,490/74,239.32 = 12,554/x
  3. Step 3: Cross multiply
    49,490x = 74,239.32 × 12,554
  4. Step 4: Simplify right side
    49,490x = 932,000,423.28
  5. Step 5: Solve for x
    x = 932,000,423.28/49,490
  6. Step 6: Final answer
    x = 18,832.10

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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.