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Finding the Fourth Proportional to 5,489.76, 7,576.38 and 3,366.65

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Solution

The fourth proportional to 5,489.76, 7,576.38 and 3,366.65 is: 4,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.76 : 7,576.38 = 3,366.65 : x
  2. Step 2: Convert to fraction form
    5,489.76/7,576.38 = 3,366.65/x
  3. Step 3: Cross multiply
    5,489.76x = 7,576.38 × 3,366.65
  4. Step 4: Simplify right side
    5,489.76x = 25,506,981.85
  5. Step 5: Solve for x
    x = 25,506,981.85/5,489.76
  6. Step 6: Final answer
    x = 4,646.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.