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Finding the Fourth Proportional to 6,642.28, 9,960.18 and 3,869.92

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Solution

The fourth proportional to 6,642.28, 9,960.18 and 3,869.92 is: 5,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.28 : 9,960.18 = 3,869.92 : x
  2. Step 2: Convert to fraction form
    6,642.28/9,960.18 = 3,869.92/x
  3. Step 3: Cross multiply
    6,642.28x = 9,960.18 × 3,869.92
  4. Step 4: Simplify right side
    6,642.28x = 38,545,099.79
  5. Step 5: Solve for x
    x = 38,545,099.79/6,642.28
  6. Step 6: Final answer
    x = 5,802.99

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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.