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Finding the Fourth Proportional to 6,520.70, 9,781.05 and 4,187.90

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Solution

The fourth proportional to 6,520.70, 9,781.05 and 4,187.90 is: 6,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.70 : 9,781.05 = 4,187.90 : x
  2. Step 2: Convert to fraction form
    6,520.70/9,781.05 = 4,187.90/x
  3. Step 3: Cross multiply
    6,520.70x = 9,781.05 × 4,187.90
  4. Step 4: Simplify right side
    6,520.70x = 40,962,059.30
  5. Step 5: Solve for x
    x = 40,962,059.30/6,520.70
  6. Step 6: Final answer
    x = 6,281.85

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1.5x scale

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.