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Finding the Fourth Proportional to 2,759.76, 4,138.48 and 811.52

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Solution

The fourth proportional to 2,759.76, 4,138.48 and 811.52 is: 1,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.76 : 4,138.48 = 811.52 : x
  2. Step 2: Convert to fraction form
    2,759.76/4,138.48 = 811.52/x
  3. Step 3: Cross multiply
    2,759.76x = 4,138.48 × 811.52
  4. Step 4: Simplify right side
    2,759.76x = 3,358,459.29
  5. Step 5: Solve for x
    x = 3,358,459.29/2,759.76
  6. Step 6: Final answer
    x = 1,216.94

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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.