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Finding the Fourth Proportional to 10,372.32, 15,469.20 and 8,822.16

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Solution

The fourth proportional to 10,372.32, 15,469.20 and 8,822.16 is: 13,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.32 : 15,469.20 = 8,822.16 : x
  2. Step 2: Convert to fraction form
    10,372.32/15,469.20 = 8,822.16/x
  3. Step 3: Cross multiply
    10,372.32x = 15,469.20 × 8,822.16
  4. Step 4: Simplify right side
    10,372.32x = 136,471,757.47
  5. Step 5: Solve for x
    x = 136,471,757.47/10,372.32
  6. Step 6: Final answer
    x = 13,157.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.