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Finding the Fourth Proportional to 20,868.60, 31,375.80 and 20,431.20

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Solution

The fourth proportional to 20,868.60, 31,375.80 and 20,431.20 is: 30,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.60 : 31,375.80 = 20,431.20 : x
  2. Step 2: Convert to fraction form
    20,868.60/31,375.80 = 20,431.20/x
  3. Step 3: Cross multiply
    20,868.60x = 31,375.80 × 20,431.20
  4. Step 4: Simplify right side
    20,868.60x = 641,045,244.96
  5. Step 5: Solve for x
    x = 641,045,244.96/20,868.60
  6. Step 6: Final answer
    x = 30,718.17

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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.