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Finding the Fourth Proportional to 3,167.86, 4,751.80 and 2,079.12

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Solution

The fourth proportional to 3,167.86, 4,751.80 and 2,079.12 is: 3,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.86 : 4,751.80 = 2,079.12 : x
  2. Step 2: Convert to fraction form
    3,167.86/4,751.80 = 2,079.12/x
  3. Step 3: Cross multiply
    3,167.86x = 4,751.80 × 2,079.12
  4. Step 4: Simplify right side
    3,167.86x = 9,879,562.42
  5. Step 5: Solve for x
    x = 9,879,562.42/3,167.86
  6. Step 6: Final answer
    x = 3,118.69

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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.