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Finding the Fourth Proportional to 8,470.70, 12,706.04 and 2,314.70

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Solution

The fourth proportional to 8,470.70, 12,706.04 and 2,314.70 is: 3,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.70 : 12,706.04 = 2,314.70 : x
  2. Step 2: Convert to fraction form
    8,470.70/12,706.04 = 2,314.70/x
  3. Step 3: Cross multiply
    8,470.70x = 12,706.04 × 2,314.70
  4. Step 4: Simplify right side
    8,470.70x = 29,410,595.68
  5. Step 5: Solve for x
    x = 29,410,595.68/8,470.70
  6. Step 6: Final answer
    x = 3,472.04

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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.