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Finding the Fourth Proportional to 8,402.19, 12,610.57 and 8,382.75

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Solution

The fourth proportional to 8,402.19, 12,610.57 and 8,382.75 is: 12,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.19 : 12,610.57 = 8,382.75 : x
  2. Step 2: Convert to fraction form
    8,402.19/12,610.57 = 8,382.75/x
  3. Step 3: Cross multiply
    8,402.19x = 12,610.57 × 8,382.75
  4. Step 4: Simplify right side
    8,402.19x = 105,711,255.67
  5. Step 5: Solve for x
    x = 105,711,255.67/8,402.19
  6. Step 6: Final answer
    x = 12,581.39

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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.