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Finding the Fourth Proportional to 2,766.48, 4,149.72 and 1,898.16

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Solution

The fourth proportional to 2,766.48, 4,149.72 and 1,898.16 is: 2,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.48 : 4,149.72 = 1,898.16 : x
  2. Step 2: Convert to fraction form
    2,766.48/4,149.72 = 1,898.16/x
  3. Step 3: Cross multiply
    2,766.48x = 4,149.72 × 1,898.16
  4. Step 4: Simplify right side
    2,766.48x = 7,876,832.52
  5. Step 5: Solve for x
    x = 7,876,832.52/2,766.48
  6. Step 6: Final answer
    x = 2,847.24

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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.