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Finding the Fourth Proportional to 7,125.80, 10,680.03 and 5,046.41

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Solution

The fourth proportional to 7,125.80, 10,680.03 and 5,046.41 is: 7,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.80 : 10,680.03 = 5,046.41 : x
  2. Step 2: Convert to fraction form
    7,125.80/10,680.03 = 5,046.41/x
  3. Step 3: Cross multiply
    7,125.80x = 10,680.03 × 5,046.41
  4. Step 4: Simplify right side
    7,125.80x = 53,895,756.79
  5. Step 5: Solve for x
    x = 53,895,756.79/7,125.80
  6. Step 6: Final answer
    x = 7,563.47

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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.