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Finding the Fourth Proportional to 8,412.93, 12,618.94 and 2,569.09

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Solution

The fourth proportional to 8,412.93, 12,618.94 and 2,569.09 is: 3,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.93 : 12,618.94 = 2,569.09 : x
  2. Step 2: Convert to fraction form
    8,412.93/12,618.94 = 2,569.09/x
  3. Step 3: Cross multiply
    8,412.93x = 12,618.94 × 2,569.09
  4. Step 4: Simplify right side
    8,412.93x = 32,419,135.89
  5. Step 5: Solve for x
    x = 32,419,135.89/8,412.93
  6. Step 6: Final answer
    x = 3,853.49

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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.