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Finding the Fourth Proportional to 8,621.66, 11,897.52 and 5,084.12

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Solution

The fourth proportional to 8,621.66, 11,897.52 and 5,084.12 is: 7,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621.66 : 11,897.52 = 5,084.12 : x
  2. Step 2: Convert to fraction form
    8,621.66/11,897.52 = 5,084.12/x
  3. Step 3: Cross multiply
    8,621.66x = 11,897.52 × 5,084.12
  4. Step 4: Simplify right side
    8,621.66x = 60,488,419.38
  5. Step 5: Solve for x
    x = 60,488,419.38/8,621.66
  6. Step 6: Final answer
    x = 7,015.87

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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.