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Finding the Fourth Proportional to 2,327.12, 3,491 and 788.56

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Solution

The fourth proportional to 2,327.12, 3,491 and 788.56 is: 1,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.12 : 3,491 = 788.56 : x
  2. Step 2: Convert to fraction form
    2,327.12/3,491 = 788.56/x
  3. Step 3: Cross multiply
    2,327.12x = 3,491 × 788.56
  4. Step 4: Simplify right side
    2,327.12x = 2,752,862.96
  5. Step 5: Solve for x
    x = 2,752,862.96/2,327.12
  6. Step 6: Final answer
    x = 1,182.95

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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.