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Finding the Fourth Proportional to 4,957.31, 7,437.56 and 1,447.55

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Solution

The fourth proportional to 4,957.31, 7,437.56 and 1,447.55 is: 2,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.31 : 7,437.56 = 1,447.55 : x
  2. Step 2: Convert to fraction form
    4,957.31/7,437.56 = 1,447.55/x
  3. Step 3: Cross multiply
    4,957.31x = 7,437.56 × 1,447.55
  4. Step 4: Simplify right side
    4,957.31x = 10,766,239.98
  5. Step 5: Solve for x
    x = 10,766,239.98/4,957.31
  6. Step 6: Final answer
    x = 2,171.79

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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.