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Finding the Fourth Proportional to 41,319, 61,988.22 and 13,617

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Solution

The fourth proportional to 41,319, 61,988.22 and 13,617 is: 20,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,319 : 61,988.22 = 13,617 : x
  2. Step 2: Convert to fraction form
    41,319/61,988.22 = 13,617/x
  3. Step 3: Cross multiply
    41,319x = 61,988.22 × 13,617
  4. Step 4: Simplify right side
    41,319x = 844,093,591.74
  5. Step 5: Solve for x
    x = 844,093,591.74/41,319
  6. Step 6: Final answer
    x = 20,428.70

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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.