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Finding the Fourth Proportional to 11,776.47, 17,654.85 and 8,069.64

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Solution

The fourth proportional to 11,776.47, 17,654.85 and 8,069.64 is: 12,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.47 : 17,654.85 = 8,069.64 : x
  2. Step 2: Convert to fraction form
    11,776.47/17,654.85 = 8,069.64/x
  3. Step 3: Cross multiply
    11,776.47x = 17,654.85 × 8,069.64
  4. Step 4: Simplify right side
    11,776.47x = 142,468,283.75
  5. Step 5: Solve for x
    x = 142,468,283.75/11,776.47
  6. Step 6: Final answer
    x = 12,097.71

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1.5x scale

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.