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Finding the Fourth Proportional to 8,156.64, 11,249.76 and 7,213.44

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Solution

The fourth proportional to 8,156.64, 11,249.76 and 7,213.44 is: 9,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.64 : 11,249.76 = 7,213.44 : x
  2. Step 2: Convert to fraction form
    8,156.64/11,249.76 = 7,213.44/x
  3. Step 3: Cross multiply
    8,156.64x = 11,249.76 × 7,213.44
  4. Step 4: Simplify right side
    8,156.64x = 81,149,468.77
  5. Step 5: Solve for x
    x = 81,149,468.77/8,156.64
  6. Step 6: Final answer
    x = 9,948.88

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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.