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Finding the Fourth Proportional to 10,578.97, 15,864.35 and 5,645.92

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Solution

The fourth proportional to 10,578.97, 15,864.35 and 5,645.92 is: 8,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.97 : 15,864.35 = 5,645.92 : x
  2. Step 2: Convert to fraction form
    10,578.97/15,864.35 = 5,645.92/x
  3. Step 3: Cross multiply
    10,578.97x = 15,864.35 × 5,645.92
  4. Step 4: Simplify right side
    10,578.97x = 89,568,850.95
  5. Step 5: Solve for x
    x = 89,568,850.95/10,578.97
  6. Step 6: Final answer
    x = 8,466.69

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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.