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Finding the Fourth Proportional to 4,487.64, 6,731.46 and 2,147.10

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Solution

The fourth proportional to 4,487.64, 6,731.46 and 2,147.10 is: 3,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.64 : 6,731.46 = 2,147.10 : x
  2. Step 2: Convert to fraction form
    4,487.64/6,731.46 = 2,147.10/x
  3. Step 3: Cross multiply
    4,487.64x = 6,731.46 × 2,147.10
  4. Step 4: Simplify right side
    4,487.64x = 14,453,117.77
  5. Step 5: Solve for x
    x = 14,453,117.77/4,487.64
  6. Step 6: Final answer
    x = 3,220.65

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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.