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Finding the Fourth Proportional to 13,802.94, 20,687.13 and 10,869.66

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Solution

The fourth proportional to 13,802.94, 20,687.13 and 10,869.66 is: 16,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.94 : 20,687.13 = 10,869.66 : x
  2. Step 2: Convert to fraction form
    13,802.94/20,687.13 = 10,869.66/x
  3. Step 3: Cross multiply
    13,802.94x = 20,687.13 × 10,869.66
  4. Step 4: Simplify right side
    13,802.94x = 224,862,069.48
  5. Step 5: Solve for x
    x = 224,862,069.48/13,802.94
  6. Step 6: Final answer
    x = 16,290.88

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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.