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Finding the Fourth Proportional to 13,414.87, 18,504.11 and 8,641.00

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Solution

The fourth proportional to 13,414.87, 18,504.11 and 8,641.00 is: 11,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.87 : 18,504.11 = 8,641.00 : x
  2. Step 2: Convert to fraction form
    13,414.87/18,504.11 = 8,641.00/x
  3. Step 3: Cross multiply
    13,414.87x = 18,504.11 × 8,641.00
  4. Step 4: Simplify right side
    13,414.87x = 159,893,878.78
  5. Step 5: Solve for x
    x = 159,893,878.78/13,414.87
  6. Step 6: Final answer
    x = 11,919.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.