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Finding the Fourth Proportional to 11,382, 17,074.92 and 4,811.28

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Solution

The fourth proportional to 11,382, 17,074.92 and 4,811.28 is: 7,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 17,074.92 = 4,811.28 : x
  2. Step 2: Convert to fraction form
    11,382/17,074.92 = 4,811.28/x
  3. Step 3: Cross multiply
    11,382x = 17,074.92 × 4,811.28
  4. Step 4: Simplify right side
    11,382x = 82,152,221.10
  5. Step 5: Solve for x
    x = 82,152,221.10/11,382
  6. Step 6: Final answer
    x = 7,217.73

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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.