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Finding the Fourth Proportional to 20,498.38, 30,747.02 and 5,706.70

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Solution

The fourth proportional to 20,498.38, 30,747.02 and 5,706.70 is: 8,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.38 : 30,747.02 = 5,706.70 : x
  2. Step 2: Convert to fraction form
    20,498.38/30,747.02 = 5,706.70/x
  3. Step 3: Cross multiply
    20,498.38x = 30,747.02 × 5,706.70
  4. Step 4: Simplify right side
    20,498.38x = 175,464,019.03
  5. Step 5: Solve for x
    x = 175,464,019.03/20,498.38
  6. Step 6: Final answer
    x = 8,559.90

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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.