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Finding the Fourth Proportional to 7,654.87, 11,478.84 and 2,724.64

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Solution

The fourth proportional to 7,654.87, 11,478.84 and 2,724.64 is: 4,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.87 : 11,478.84 = 2,724.64 : x
  2. Step 2: Convert to fraction form
    7,654.87/11,478.84 = 2,724.64/x
  3. Step 3: Cross multiply
    7,654.87x = 11,478.84 × 2,724.64
  4. Step 4: Simplify right side
    7,654.87x = 31,275,635.60
  5. Step 5: Solve for x
    x = 31,275,635.60/7,654.87
  6. Step 6: Final answer
    x = 4,085.72

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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.