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Finding the Fourth Proportional to 12,882.32, 17,774.40 and 8,164.88

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Solution

The fourth proportional to 12,882.32, 17,774.40 and 8,164.88 is: 11,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.32 : 17,774.40 = 8,164.88 : x
  2. Step 2: Convert to fraction form
    12,882.32/17,774.40 = 8,164.88/x
  3. Step 3: Cross multiply
    12,882.32x = 17,774.40 × 8,164.88
  4. Step 4: Simplify right side
    12,882.32x = 145,125,843.07
  5. Step 5: Solve for x
    x = 145,125,843.07/12,882.32
  6. Step 6: Final answer
    x = 11,265.51

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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.