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Finding the Fourth Proportional to 3,584.95, 5,377.29 and 987.82

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Solution

The fourth proportional to 3,584.95, 5,377.29 and 987.82 is: 1,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.95 : 5,377.29 = 987.82 : x
  2. Step 2: Convert to fraction form
    3,584.95/5,377.29 = 987.82/x
  3. Step 3: Cross multiply
    3,584.95x = 5,377.29 × 987.82
  4. Step 4: Simplify right side
    3,584.95x = 5,311,777.46
  5. Step 5: Solve for x
    x = 5,311,777.46/3,584.95
  6. Step 6: Final answer
    x = 1,481.69

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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.