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Finding the Fourth Proportional to 8,412.99, 12,618.99 and 2,569.14

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Solution

The fourth proportional to 8,412.99, 12,618.99 and 2,569.14 is: 3,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.99 : 12,618.99 = 2,569.14 : x
  2. Step 2: Convert to fraction form
    8,412.99/12,618.99 = 2,569.14/x
  3. Step 3: Cross multiply
    8,412.99x = 12,618.99 × 2,569.14
  4. Step 4: Simplify right side
    8,412.99x = 32,419,951.97
  5. Step 5: Solve for x
    x = 32,419,951.97/8,412.99
  6. Step 6: Final answer
    x = 3,853.56

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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.