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Finding the Fourth Proportional to 15,171.50, 22,754.00 and 4,780.82

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Solution

The fourth proportional to 15,171.50, 22,754.00 and 4,780.82 is: 7,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.50 : 22,754.00 = 4,780.82 : x
  2. Step 2: Convert to fraction form
    15,171.50/22,754.00 = 4,780.82/x
  3. Step 3: Cross multiply
    15,171.50x = 22,754.00 × 4,780.82
  4. Step 4: Simplify right side
    15,171.50x = 108,782,676.46
  5. Step 5: Solve for x
    x = 108,782,676.46/15,171.50
  6. Step 6: Final answer
    x = 7,170.20

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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.