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Finding the Fourth Proportional to 10,391.80, 15,576.90 and 5,704.60

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Solution

The fourth proportional to 10,391.80, 15,576.90 and 5,704.60 is: 8,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.80 : 15,576.90 = 5,704.60 : x
  2. Step 2: Convert to fraction form
    10,391.80/15,576.90 = 5,704.60/x
  3. Step 3: Cross multiply
    10,391.80x = 15,576.90 × 5,704.60
  4. Step 4: Simplify right side
    10,391.80x = 88,859,983.74
  5. Step 5: Solve for x
    x = 88,859,983.74/10,391.80
  6. Step 6: Final answer
    x = 8,550.97

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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.