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Finding the Fourth Proportional to 4,487.68, 6,731.52 and 2,147.64

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Solution

The fourth proportional to 4,487.68, 6,731.52 and 2,147.64 is: 3,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.68 : 6,731.52 = 2,147.64 : x
  2. Step 2: Convert to fraction form
    4,487.68/6,731.52 = 2,147.64/x
  3. Step 3: Cross multiply
    4,487.68x = 6,731.52 × 2,147.64
  4. Step 4: Simplify right side
    4,487.68x = 14,456,881.61
  5. Step 5: Solve for x
    x = 14,456,881.61/4,487.68
  6. Step 6: Final answer
    x = 3,221.46

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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.