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Finding the Fourth Proportional to 38,498.80, 57,719.40 and 20,988.40

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Solution

The fourth proportional to 38,498.80, 57,719.40 and 20,988.40 is: 31,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.80 : 57,719.40 = 20,988.40 : x
  2. Step 2: Convert to fraction form
    38,498.80/57,719.40 = 20,988.40/x
  3. Step 3: Cross multiply
    38,498.80x = 57,719.40 × 20,988.40
  4. Step 4: Simplify right side
    38,498.80x = 1,211,437,854.96
  5. Step 5: Solve for x
    x = 1,211,437,854.96/38,498.80
  6. Step 6: Final answer
    x = 31,466.90

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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.