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Finding the Fourth Proportional to 38,195.92, 52,714.92 and 21,431.44

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Solution

The fourth proportional to 38,195.92, 52,714.92 and 21,431.44 is: 29,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.92 : 52,714.92 = 21,431.44 : x
  2. Step 2: Convert to fraction form
    38,195.92/52,714.92 = 21,431.44/x
  3. Step 3: Cross multiply
    38,195.92x = 52,714.92 × 21,431.44
  4. Step 4: Simplify right side
    38,195.92x = 1,129,756,645.08
  5. Step 5: Solve for x
    x = 1,129,756,645.08/38,195.92
  6. Step 6: Final answer
    x = 29,577.94

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.