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Finding the Fourth Proportional to 2,734.64, 3,774.12 and 1,555.88

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Solution

The fourth proportional to 2,734.64, 3,774.12 and 1,555.88 is: 2,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.64 : 3,774.12 = 1,555.88 : x
  2. Step 2: Convert to fraction form
    2,734.64/3,774.12 = 1,555.88/x
  3. Step 3: Cross multiply
    2,734.64x = 3,774.12 × 1,555.88
  4. Step 4: Simplify right side
    2,734.64x = 5,872,077.83
  5. Step 5: Solve for x
    x = 5,872,077.83/2,734.64
  6. Step 6: Final answer
    x = 2,147.29

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1.5x scale

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.