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Finding the Fourth Proportional to 6,592.80, 9,876.24 and 3,989.28

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Solution

The fourth proportional to 6,592.80, 9,876.24 and 3,989.28 is: 5,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.80 : 9,876.24 = 3,989.28 : x
  2. Step 2: Convert to fraction form
    6,592.80/9,876.24 = 3,989.28/x
  3. Step 3: Cross multiply
    6,592.80x = 9,876.24 × 3,989.28
  4. Step 4: Simplify right side
    6,592.80x = 39,399,086.71
  5. Step 5: Solve for x
    x = 39,399,086.71/6,592.80
  6. Step 6: Final answer
    x = 5,976.08

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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.