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Finding the Fourth Proportional to 13,862.84, 20,781.84 and 5,091.62

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Solution

The fourth proportional to 13,862.84, 20,781.84 and 5,091.62 is: 7,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.84 : 20,781.84 = 5,091.62 : x
  2. Step 2: Convert to fraction form
    13,862.84/20,781.84 = 5,091.62/x
  3. Step 3: Cross multiply
    13,862.84x = 20,781.84 × 5,091.62
  4. Step 4: Simplify right side
    13,862.84x = 105,813,232.18
  5. Step 5: Solve for x
    x = 105,813,232.18/13,862.84
  6. Step 6: Final answer
    x = 7,632.87

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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.