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Finding the Fourth Proportional to 15,124.53, 20,863 and 9,822.88

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Solution

The fourth proportional to 15,124.53, 20,863 and 9,822.88 is: 13,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.53 : 20,863 = 9,822.88 : x
  2. Step 2: Convert to fraction form
    15,124.53/20,863 = 9,822.88/x
  3. Step 3: Cross multiply
    15,124.53x = 20,863 × 9,822.88
  4. Step 4: Simplify right side
    15,124.53x = 204,934,745.44
  5. Step 5: Solve for x
    x = 204,934,745.44/15,124.53
  6. Step 6: Final answer
    x = 13,549.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.