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Finding the Fourth Proportional to 2,734.68, 3,774 and 1,555.92

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Solution

The fourth proportional to 2,734.68, 3,774 and 1,555.92 is: 2,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.68 : 3,774 = 1,555.92 : x
  2. Step 2: Convert to fraction form
    2,734.68/3,774 = 1,555.92/x
  3. Step 3: Cross multiply
    2,734.68x = 3,774 × 1,555.92
  4. Step 4: Simplify right side
    2,734.68x = 5,872,042.08
  5. Step 5: Solve for x
    x = 5,872,042.08/2,734.68
  6. Step 6: Final answer
    x = 2,147.25

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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.