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Finding the Fourth Proportional to 13,765.74, 20,641.62 and 5,865.20

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Solution

The fourth proportional to 13,765.74, 20,641.62 and 5,865.20 is: 8,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.74 : 20,641.62 = 5,865.20 : x
  2. Step 2: Convert to fraction form
    13,765.74/20,641.62 = 5,865.20/x
  3. Step 3: Cross multiply
    13,765.74x = 20,641.62 × 5,865.20
  4. Step 4: Simplify right side
    13,765.74x = 121,067,229.62
  5. Step 5: Solve for x
    x = 121,067,229.62/13,765.74
  6. Step 6: Final answer
    x = 8,794.82

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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.