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Finding the Fourth Proportional to 2,779.76, 4,169.54 and 832.52

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Solution

The fourth proportional to 2,779.76, 4,169.54 and 832.52 is: 1,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.76 : 4,169.54 = 832.52 : x
  2. Step 2: Convert to fraction form
    2,779.76/4,169.54 = 832.52/x
  3. Step 3: Cross multiply
    2,779.76x = 4,169.54 × 832.52
  4. Step 4: Simplify right side
    2,779.76x = 3,471,225.44
  5. Step 5: Solve for x
    x = 3,471,225.44/2,779.76
  6. Step 6: Final answer
    x = 1,248.75

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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.