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Finding the Fourth Proportional to 8,870, 13,305 and 4,974.71

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Solution

The fourth proportional to 8,870, 13,305 and 4,974.71 is: 7,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,870 : 13,305 = 4,974.71 : x
  2. Step 2: Convert to fraction form
    8,870/13,305 = 4,974.71/x
  3. Step 3: Cross multiply
    8,870x = 13,305 × 4,974.71
  4. Step 4: Simplify right side
    8,870x = 66,188,516.55
  5. Step 5: Solve for x
    x = 66,188,516.55/8,870
  6. Step 6: Final answer
    x = 7,462.07

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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.