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Finding the Fourth Proportional to 20,652.91, 30,979.40 and 8,175.87

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Solution

The fourth proportional to 20,652.91, 30,979.40 and 8,175.87 is: 12,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.91 : 30,979.40 = 8,175.87 : x
  2. Step 2: Convert to fraction form
    20,652.91/30,979.40 = 8,175.87/x
  3. Step 3: Cross multiply
    20,652.91x = 30,979.40 × 8,175.87
  4. Step 4: Simplify right side
    20,652.91x = 253,283,506.20
  5. Step 5: Solve for x
    x = 253,283,506.20/20,652.91
  6. Step 6: Final answer
    x = 12,263.82

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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.