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Finding the Fourth Proportional to 17,177.20, 25,765.80 and 7,821.70

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Solution

The fourth proportional to 17,177.20, 25,765.80 and 7,821.70 is: 11,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.20 : 25,765.80 = 7,821.70 : x
  2. Step 2: Convert to fraction form
    17,177.20/25,765.80 = 7,821.70/x
  3. Step 3: Cross multiply
    17,177.20x = 25,765.80 × 7,821.70
  4. Step 4: Simplify right side
    17,177.20x = 201,532,357.86
  5. Step 5: Solve for x
    x = 201,532,357.86/17,177.20
  6. Step 6: Final answer
    x = 11,732.55

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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.