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Finding the Fourth Proportional to 7,875.38, 10,868.04 and 4,338.61

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Solution

The fourth proportional to 7,875.38, 10,868.04 and 4,338.61 is: 5,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.38 : 10,868.04 = 4,338.61 : x
  2. Step 2: Convert to fraction form
    7,875.38/10,868.04 = 4,338.61/x
  3. Step 3: Cross multiply
    7,875.38x = 10,868.04 × 4,338.61
  4. Step 4: Simplify right side
    7,875.38x = 47,152,159.85
  5. Step 5: Solve for x
    x = 47,152,159.85/7,875.38
  6. Step 6: Final answer
    x = 5,987.29

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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.