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Finding the Fourth Proportional to 2,810.55, 3,879.33 and 1,632

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Solution

The fourth proportional to 2,810.55, 3,879.33 and 1,632 is: 2,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.55 : 3,879.33 = 1,632 : x
  2. Step 2: Convert to fraction form
    2,810.55/3,879.33 = 1,632/x
  3. Step 3: Cross multiply
    2,810.55x = 3,879.33 × 1,632
  4. Step 4: Simplify right side
    2,810.55x = 6,331,066.56
  5. Step 5: Solve for x
    x = 6,331,066.56/2,810.55
  6. Step 6: Final answer
    x = 2,252.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.