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Finding the Fourth Proportional to 13,678.38, 18,869.49 and 8,640.18

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Solution

The fourth proportional to 13,678.38, 18,869.49 and 8,640.18 is: 11,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.38 : 18,869.49 = 8,640.18 : x
  2. Step 2: Convert to fraction form
    13,678.38/18,869.49 = 8,640.18/x
  3. Step 3: Cross multiply
    13,678.38x = 18,869.49 × 8,640.18
  4. Step 4: Simplify right side
    13,678.38x = 163,035,790.11
  5. Step 5: Solve for x
    x = 163,035,790.11/13,678.38
  6. Step 6: Final answer
    x = 11,919.23

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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.