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Finding the Fourth Proportional to 6,500.10, 9,750.15 and 4,311.30

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Solution

The fourth proportional to 6,500.10, 9,750.15 and 4,311.30 is: 6,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.10 : 9,750.15 = 4,311.30 : x
  2. Step 2: Convert to fraction form
    6,500.10/9,750.15 = 4,311.30/x
  3. Step 3: Cross multiply
    6,500.10x = 9,750.15 × 4,311.30
  4. Step 4: Simplify right side
    6,500.10x = 42,035,821.70
  5. Step 5: Solve for x
    x = 42,035,821.70/6,500.10
  6. Step 6: Final answer
    x = 6,466.95

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Double scale
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Similar ratio
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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.