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Finding the Fourth Proportional to 10,987.56, 15,164.97 and 8,592.78

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Solution

The fourth proportional to 10,987.56, 15,164.97 and 8,592.78 is: 11,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.56 : 15,164.97 = 8,592.78 : x
  2. Step 2: Convert to fraction form
    10,987.56/15,164.97 = 8,592.78/x
  3. Step 3: Cross multiply
    10,987.56x = 15,164.97 × 8,592.78
  4. Step 4: Simplify right side
    10,987.56x = 130,309,250.92
  5. Step 5: Solve for x
    x = 130,309,250.92/10,987.56
  6. Step 6: Final answer
    x = 11,859.71

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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.