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Finding the Fourth Proportional to 2,737.12, 4,105.04 and 788.88

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Solution

The fourth proportional to 2,737.12, 4,105.04 and 788.88 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.12 : 4,105.04 = 788.88 : x
  2. Step 2: Convert to fraction form
    2,737.12/4,105.04 = 788.88/x
  3. Step 3: Cross multiply
    2,737.12x = 4,105.04 × 788.88
  4. Step 4: Simplify right side
    2,737.12x = 3,238,383.96
  5. Step 5: Solve for x
    x = 3,238,383.96/2,737.12
  6. Step 6: Final answer
    x = 1,183.14

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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.