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Finding the Fourth Proportional to 8,470.38, 12,705.42 and 2,314.38

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Solution

The fourth proportional to 8,470.38, 12,705.42 and 2,314.38 is: 3,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.38 : 12,705.42 = 2,314.38 : x
  2. Step 2: Convert to fraction form
    8,470.38/12,705.42 = 2,314.38/x
  3. Step 3: Cross multiply
    8,470.38x = 12,705.42 × 2,314.38
  4. Step 4: Simplify right side
    8,470.38x = 29,405,169.94
  5. Step 5: Solve for x
    x = 29,405,169.94/8,470.38
  6. Step 6: Final answer
    x = 3,471.53

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1.5x scale

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.