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Finding the Fourth Proportional to 8,412.73, 12,619.14 and 2,569.39

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Solution

The fourth proportional to 8,412.73, 12,619.14 and 2,569.39 is: 3,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.73 : 12,619.14 = 2,569.39 : x
  2. Step 2: Convert to fraction form
    8,412.73/12,619.14 = 2,569.39/x
  3. Step 3: Cross multiply
    8,412.73x = 12,619.14 × 2,569.39
  4. Step 4: Simplify right side
    8,412.73x = 32,423,492.12
  5. Step 5: Solve for x
    x = 32,423,492.12/8,412.73
  6. Step 6: Final answer
    x = 3,854.10

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Similar ratio
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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.