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Finding the Fourth Proportional to 3,918.96, 5,877.84 and 1,144.88

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Solution

The fourth proportional to 3,918.96, 5,877.84 and 1,144.88 is: 1,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.96 : 5,877.84 = 1,144.88 : x
  2. Step 2: Convert to fraction form
    3,918.96/5,877.84 = 1,144.88/x
  3. Step 3: Cross multiply
    3,918.96x = 5,877.84 × 1,144.88
  4. Step 4: Simplify right side
    3,918.96x = 6,729,421.46
  5. Step 5: Solve for x
    x = 6,729,421.46/3,918.96
  6. Step 6: Final answer
    x = 1,717.14

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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.