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Finding the Fourth Proportional to 2,742.88, 4,108.48 and 2,646.97

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Solution

The fourth proportional to 2,742.88, 4,108.48 and 2,646.97 is: 3,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.88 : 4,108.48 = 2,646.97 : x
  2. Step 2: Convert to fraction form
    2,742.88/4,108.48 = 2,646.97/x
  3. Step 3: Cross multiply
    2,742.88x = 4,108.48 × 2,646.97
  4. Step 4: Simplify right side
    2,742.88x = 10,875,023.31
  5. Step 5: Solve for x
    x = 10,875,023.31/2,742.88
  6. Step 6: Final answer
    x = 3,964.82

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1.5x scale

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.