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Finding the Fourth Proportional to 10,674.28, 15,979.88 and 7,882.41

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Solution

The fourth proportional to 10,674.28, 15,979.88 and 7,882.41 is: 11,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.28 : 15,979.88 = 7,882.41 : x
  2. Step 2: Convert to fraction form
    10,674.28/15,979.88 = 7,882.41/x
  3. Step 3: Cross multiply
    10,674.28x = 15,979.88 × 7,882.41
  4. Step 4: Simplify right side
    10,674.28x = 125,960,045.54
  5. Step 5: Solve for x
    x = 125,960,045.54/10,674.28
  6. Step 6: Final answer
    x = 11,800.33

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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.