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Finding the Fourth Proportional to 20,508.92, 30,765.10 and 5,718

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Solution

The fourth proportional to 20,508.92, 30,765.10 and 5,718 is: 8,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.92 : 30,765.10 = 5,718 : x
  2. Step 2: Convert to fraction form
    20,508.92/30,765.10 = 5,718/x
  3. Step 3: Cross multiply
    20,508.92x = 30,765.10 × 5,718
  4. Step 4: Simplify right side
    20,508.92x = 175,914,841.80
  5. Step 5: Solve for x
    x = 175,914,841.80/20,508.92
  6. Step 6: Final answer
    x = 8,577.48

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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.