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Finding the Fourth Proportional to 40,805.47, 61,201.17 and 10,819.92

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Solution

The fourth proportional to 40,805.47, 61,201.17 and 10,819.92 is: 16,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,805.47 : 61,201.17 = 10,819.92 : x
  2. Step 2: Convert to fraction form
    40,805.47/61,201.17 = 10,819.92/x
  3. Step 3: Cross multiply
    40,805.47x = 61,201.17 × 10,819.92
  4. Step 4: Simplify right side
    40,805.47x = 662,191,763.31
  5. Step 5: Solve for x
    x = 662,191,763.31/40,805.47
  6. Step 6: Final answer
    x = 16,228.01

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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.