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Finding the Fourth Proportional to 2,747, 3,785.82 and 2,538.20

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Solution

The fourth proportional to 2,747, 3,785.82 and 2,538.20 is: 3,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 3,785.82 = 2,538.20 : x
  2. Step 2: Convert to fraction form
    2,747/3,785.82 = 2,538.20/x
  3. Step 3: Cross multiply
    2,747x = 3,785.82 × 2,538.20
  4. Step 4: Simplify right side
    2,747x = 9,609,168.32
  5. Step 5: Solve for x
    x = 9,609,168.32/2,747
  6. Step 6: Final answer
    x = 3,498.06

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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.