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Finding the Fourth Proportional to 8,691.98, 11,994.01 and 5,154.57

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Solution

The fourth proportional to 8,691.98, 11,994.01 and 5,154.57 is: 7,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.98 : 11,994.01 = 5,154.57 : x
  2. Step 2: Convert to fraction form
    8,691.98/11,994.01 = 5,154.57/x
  3. Step 3: Cross multiply
    8,691.98x = 11,994.01 × 5,154.57
  4. Step 4: Simplify right side
    8,691.98x = 61,823,951.24
  5. Step 5: Solve for x
    x = 61,823,951.24/8,691.98
  6. Step 6: Final answer
    x = 7,112.76

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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.