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Finding the Fourth Proportional to 11,146.60, 16,700.70 and 5,290.60

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Solution

The fourth proportional to 11,146.60, 16,700.70 and 5,290.60 is: 7,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.60 : 16,700.70 = 5,290.60 : x
  2. Step 2: Convert to fraction form
    11,146.60/16,700.70 = 5,290.60/x
  3. Step 3: Cross multiply
    11,146.60x = 16,700.70 × 5,290.60
  4. Step 4: Simplify right side
    11,146.60x = 88,356,723.42
  5. Step 5: Solve for x
    x = 88,356,723.42/11,146.60
  6. Step 6: Final answer
    x = 7,926.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.