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Finding the Fourth Proportional to 13,902.80, 20,854.20 and 13,254.80

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Solution

The fourth proportional to 13,902.80, 20,854.20 and 13,254.80 is: 19,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.80 : 20,854.20 = 13,254.80 : x
  2. Step 2: Convert to fraction form
    13,902.80/20,854.20 = 13,254.80/x
  3. Step 3: Cross multiply
    13,902.80x = 20,854.20 × 13,254.80
  4. Step 4: Simplify right side
    13,902.80x = 276,418,250.16
  5. Step 5: Solve for x
    x = 276,418,250.16/13,902.80
  6. Step 6: Final answer
    x = 19,882.20

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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.