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Finding the Fourth Proportional to 7,717.31, 11,591.35 and 7,282.12

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Solution

The fourth proportional to 7,717.31, 11,591.35 and 7,282.12 is: 10,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.31 : 11,591.35 = 7,282.12 : x
  2. Step 2: Convert to fraction form
    7,717.31/11,591.35 = 7,282.12/x
  3. Step 3: Cross multiply
    7,717.31x = 11,591.35 × 7,282.12
  4. Step 4: Simplify right side
    7,717.31x = 84,409,601.66
  5. Step 5: Solve for x
    x = 84,409,601.66/7,717.31
  6. Step 6: Final answer
    x = 10,937.70

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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.