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Finding the Fourth Proportional to 2,779.72, 4,169.52 and 1,135.88

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Solution

The fourth proportional to 2,779.72, 4,169.52 and 1,135.88 is: 1,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.72 : 4,169.52 = 1,135.88 : x
  2. Step 2: Convert to fraction form
    2,779.72/4,169.52 = 1,135.88/x
  3. Step 3: Cross multiply
    2,779.72x = 4,169.52 × 1,135.88
  4. Step 4: Simplify right side
    2,779.72x = 4,736,074.38
  5. Step 5: Solve for x
    x = 4,736,074.38/2,779.72
  6. Step 6: Final answer
    x = 1,703.80

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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.