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Finding the Fourth Proportional to 8,311.75, 12,470.33 and 5,815.51

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Solution

The fourth proportional to 8,311.75, 12,470.33 and 5,815.51 is: 8,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.75 : 12,470.33 = 5,815.51 : x
  2. Step 2: Convert to fraction form
    8,311.75/12,470.33 = 5,815.51/x
  3. Step 3: Cross multiply
    8,311.75x = 12,470.33 × 5,815.51
  4. Step 4: Simplify right side
    8,311.75x = 72,521,299.74
  5. Step 5: Solve for x
    x = 72,521,299.74/8,311.75
  6. Step 6: Final answer
    x = 8,725.15

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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.