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Finding the Fourth Proportional to 6,521.68, 8,999.76 and 3,727

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Solution

The fourth proportional to 6,521.68, 8,999.76 and 3,727 is: 5,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.68 : 8,999.76 = 3,727 : x
  2. Step 2: Convert to fraction form
    6,521.68/8,999.76 = 3,727/x
  3. Step 3: Cross multiply
    6,521.68x = 8,999.76 × 3,727
  4. Step 4: Simplify right side
    6,521.68x = 33,542,105.52
  5. Step 5: Solve for x
    x = 33,542,105.52/6,521.68
  6. Step 6: Final answer
    x = 5,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.