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Finding the Fourth Proportional to 7,375, 10,177.55 and 4,017.78

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Solution

The fourth proportional to 7,375, 10,177.55 and 4,017.78 is: 5,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375 : 10,177.55 = 4,017.78 : x
  2. Step 2: Convert to fraction form
    7,375/10,177.55 = 4,017.78/x
  3. Step 3: Cross multiply
    7,375x = 10,177.55 × 4,017.78
  4. Step 4: Simplify right side
    7,375x = 40,891,156.84
  5. Step 5: Solve for x
    x = 40,891,156.84/7,375
  6. Step 6: Final answer
    x = 5,544.56

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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.