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Finding the Fourth Proportional to 10,575.90, 15,843.33 and 5,643.90

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Solution

The fourth proportional to 10,575.90, 15,843.33 and 5,643.90 is: 8,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.90 : 15,843.33 = 5,643.90 : x
  2. Step 2: Convert to fraction form
    10,575.90/15,843.33 = 5,643.90/x
  3. Step 3: Cross multiply
    10,575.90x = 15,843.33 × 5,643.90
  4. Step 4: Simplify right side
    10,575.90x = 89,418,170.19
  5. Step 5: Solve for x
    x = 89,418,170.19/10,575.90
  6. Step 6: Final answer
    x = 8,454.90

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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.