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Finding the Fourth Proportional to 3,954.62, 5,927.34 and 1,487.87

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Solution

The fourth proportional to 3,954.62, 5,927.34 and 1,487.87 is: 2,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.62 : 5,927.34 = 1,487.87 : x
  2. Step 2: Convert to fraction form
    3,954.62/5,927.34 = 1,487.87/x
  3. Step 3: Cross multiply
    3,954.62x = 5,927.34 × 1,487.87
  4. Step 4: Simplify right side
    3,954.62x = 8,819,109.54
  5. Step 5: Solve for x
    x = 8,819,109.54/3,954.62
  6. Step 6: Final answer
    x = 2,230.08

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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.