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Finding the Fourth Proportional to 2,779.91, 4,169.85 and 1,114.78

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Solution

The fourth proportional to 2,779.91, 4,169.85 and 1,114.78 is: 1,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.91 : 4,169.85 = 1,114.78 : x
  2. Step 2: Convert to fraction form
    2,779.91/4,169.85 = 1,114.78/x
  3. Step 3: Cross multiply
    2,779.91x = 4,169.85 × 1,114.78
  4. Step 4: Simplify right side
    2,779.91x = 4,648,444.53
  5. Step 5: Solve for x
    x = 4,648,444.53/2,779.91
  6. Step 6: Final answer
    x = 1,672.16

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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.