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Finding the Fourth Proportional to 20,750.40, 31,092.24 and 12,410.40

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Solution

The fourth proportional to 20,750.40, 31,092.24 and 12,410.40 is: 18,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.40 : 31,092.24 = 12,410.40 : x
  2. Step 2: Convert to fraction form
    20,750.40/31,092.24 = 12,410.40/x
  3. Step 3: Cross multiply
    20,750.40x = 31,092.24 × 12,410.40
  4. Step 4: Simplify right side
    20,750.40x = 385,867,135.30
  5. Step 5: Solve for x
    x = 385,867,135.30/20,750.40
  6. Step 6: Final answer
    x = 18,595.65

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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.