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Finding the Fourth Proportional to 3,200.10, 4,800.15 and 2,471.10

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Solution

The fourth proportional to 3,200.10, 4,800.15 and 2,471.10 is: 3,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.10 : 4,800.15 = 2,471.10 : x
  2. Step 2: Convert to fraction form
    3,200.10/4,800.15 = 2,471.10/x
  3. Step 3: Cross multiply
    3,200.10x = 4,800.15 × 2,471.10
  4. Step 4: Simplify right side
    3,200.10x = 11,861,650.67
  5. Step 5: Solve for x
    x = 11,861,650.67/3,200.10
  6. Step 6: Final answer
    x = 3,706.65

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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.