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Finding the Fourth Proportional to 7,997.13, 12,013.11 and 7,734.69

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Solution

The fourth proportional to 7,997.13, 12,013.11 and 7,734.69 is: 11,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.13 : 12,013.11 = 7,734.69 : x
  2. Step 2: Convert to fraction form
    7,997.13/12,013.11 = 7,734.69/x
  3. Step 3: Cross multiply
    7,997.13x = 12,013.11 × 7,734.69
  4. Step 4: Simplify right side
    7,997.13x = 92,917,681.79
  5. Step 5: Solve for x
    x = 92,917,681.79/7,997.13
  6. Step 6: Final answer
    x = 11,618.88

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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.