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Finding the Fourth Proportional to 20,530.46, 30,793.02 and 6,491.90

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Solution

The fourth proportional to 20,530.46, 30,793.02 and 6,491.90 is: 9,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.46 : 30,793.02 = 6,491.90 : x
  2. Step 2: Convert to fraction form
    20,530.46/30,793.02 = 6,491.90/x
  3. Step 3: Cross multiply
    20,530.46x = 30,793.02 × 6,491.90
  4. Step 4: Simplify right side
    20,530.46x = 199,905,052.57
  5. Step 5: Solve for x
    x = 199,905,052.57/20,530.46
  6. Step 6: Final answer
    x = 9,737.00

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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.