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Finding the Fourth Proportional to 7,687, 10,608.80 and 4,375

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Solution

The fourth proportional to 7,687, 10,608.80 and 4,375 is: 6,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687 : 10,608.80 = 4,375 : x
  2. Step 2: Convert to fraction form
    7,687/10,608.80 = 4,375/x
  3. Step 3: Cross multiply
    7,687x = 10,608.80 × 4,375
  4. Step 4: Simplify right side
    7,687x = 46,413,500
  5. Step 5: Solve for x
    x = 46,413,500/7,687
  6. Step 6: Final answer
    x = 6,037.92

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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.