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Finding the Fourth Proportional to 13,685.14, 18,872.90 and 8,640.64

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Solution

The fourth proportional to 13,685.14, 18,872.90 and 8,640.64 is: 11,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.14 : 18,872.90 = 8,640.64 : x
  2. Step 2: Convert to fraction form
    13,685.14/18,872.90 = 8,640.64/x
  3. Step 3: Cross multiply
    13,685.14x = 18,872.90 × 8,640.64
  4. Step 4: Simplify right side
    13,685.14x = 163,073,934.66
  5. Step 5: Solve for x
    x = 163,073,934.66/13,685.14
  6. Step 6: Final answer
    x = 11,916.13

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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.