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Finding the Fourth Proportional to 12,591.68, 17,369.61 and 7,809.97

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Solution

The fourth proportional to 12,591.68, 17,369.61 and 7,809.97 is: 10,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.68 : 17,369.61 = 7,809.97 : x
  2. Step 2: Convert to fraction form
    12,591.68/17,369.61 = 7,809.97/x
  3. Step 3: Cross multiply
    12,591.68x = 17,369.61 × 7,809.97
  4. Step 4: Simplify right side
    12,591.68x = 135,656,050.54
  5. Step 5: Solve for x
    x = 135,656,050.54/12,591.68
  6. Step 6: Final answer
    x = 10,773.47

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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.