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Finding the Fourth Proportional to 2,487.76, 3,729.12 and 1,101.84

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Solution

The fourth proportional to 2,487.76, 3,729.12 and 1,101.84 is: 1,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.76 : 3,729.12 = 1,101.84 : x
  2. Step 2: Convert to fraction form
    2,487.76/3,729.12 = 1,101.84/x
  3. Step 3: Cross multiply
    2,487.76x = 3,729.12 × 1,101.84
  4. Step 4: Simplify right side
    2,487.76x = 4,108,893.58
  5. Step 5: Solve for x
    x = 4,108,893.58/2,487.76
  6. Step 6: Final answer
    x = 1,651.64

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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.