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Finding the Fourth Proportional to 8,414.92, 12,622.38 and 2,259.08

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Solution

The fourth proportional to 8,414.92, 12,622.38 and 2,259.08 is: 3,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.92 : 12,622.38 = 2,259.08 : x
  2. Step 2: Convert to fraction form
    8,414.92/12,622.38 = 2,259.08/x
  3. Step 3: Cross multiply
    8,414.92x = 12,622.38 × 2,259.08
  4. Step 4: Simplify right side
    8,414.92x = 28,514,966.21
  5. Step 5: Solve for x
    x = 28,514,966.21/8,414.92
  6. Step 6: Final answer
    x = 3,388.62

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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.