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Finding the Fourth Proportional to 38,540.70, 57,701.70 and 29,719.80

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Solution

The fourth proportional to 38,540.70, 57,701.70 and 29,719.80 is: 44,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.70 : 57,701.70 = 29,719.80 : x
  2. Step 2: Convert to fraction form
    38,540.70/57,701.70 = 29,719.80/x
  3. Step 3: Cross multiply
    38,540.70x = 57,701.70 × 29,719.80
  4. Step 4: Simplify right side
    38,540.70x = 1,714,882,983.66
  5. Step 5: Solve for x
    x = 1,714,882,983.66/38,540.70
  6. Step 6: Final answer
    x = 44,495.38

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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.