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Finding the Fourth Proportional to 38,508.60, 57,719.70 and 19,781.40

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Solution

The fourth proportional to 38,508.60, 57,719.70 and 19,781.40 is: 29,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.60 : 57,719.70 = 19,781.40 : x
  2. Step 2: Convert to fraction form
    38,508.60/57,719.70 = 19,781.40/x
  3. Step 3: Cross multiply
    38,508.60x = 57,719.70 × 19,781.40
  4. Step 4: Simplify right side
    38,508.60x = 1,141,776,473.58
  5. Step 5: Solve for x
    x = 1,141,776,473.58/38,508.60
  6. Step 6: Final answer
    x = 29,649.91

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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.