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Finding the Fourth Proportional to 8,470.26, 12,705.64 and 7,229.85

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Solution

The fourth proportional to 8,470.26, 12,705.64 and 7,229.85 is: 10,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.26 : 12,705.64 = 7,229.85 : x
  2. Step 2: Convert to fraction form
    8,470.26/12,705.64 = 7,229.85/x
  3. Step 3: Cross multiply
    8,470.26x = 12,705.64 × 7,229.85
  4. Step 4: Simplify right side
    8,470.26x = 91,859,871.35
  5. Step 5: Solve for x
    x = 91,859,871.35/8,470.26
  6. Step 6: Final answer
    x = 10,844.99

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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.