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Finding the Fourth Proportional to 7,261.70, 10,896.80 and 2,878.61

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Solution

The fourth proportional to 7,261.70, 10,896.80 and 2,878.61 is: 4,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.70 : 10,896.80 = 2,878.61 : x
  2. Step 2: Convert to fraction form
    7,261.70/10,896.80 = 2,878.61/x
  3. Step 3: Cross multiply
    7,261.70x = 10,896.80 × 2,878.61
  4. Step 4: Simplify right side
    7,261.70x = 31,367,568.57
  5. Step 5: Solve for x
    x = 31,367,568.57/7,261.70
  6. Step 6: Final answer
    x = 4,319.59

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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.