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Finding the Fourth Proportional to 2,637.57, 3,956.33 and 788.70

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Solution

The fourth proportional to 2,637.57, 3,956.33 and 788.70 is: 1,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.57 : 3,956.33 = 788.70 : x
  2. Step 2: Convert to fraction form
    2,637.57/3,956.33 = 788.70/x
  3. Step 3: Cross multiply
    2,637.57x = 3,956.33 × 788.70
  4. Step 4: Simplify right side
    2,637.57x = 3,120,353.53
  5. Step 5: Solve for x
    x = 3,120,353.53/2,637.57
  6. Step 6: Final answer
    x = 1,183.04

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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.