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Finding the Fourth Proportional to 2,886.62, 3,983.92 and 1,767.74

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Solution

The fourth proportional to 2,886.62, 3,983.92 and 1,767.74 is: 2,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.62 : 3,983.92 = 1,767.74 : x
  2. Step 2: Convert to fraction form
    2,886.62/3,983.92 = 1,767.74/x
  3. Step 3: Cross multiply
    2,886.62x = 3,983.92 × 1,767.74
  4. Step 4: Simplify right side
    2,886.62x = 7,042,534.74
  5. Step 5: Solve for x
    x = 7,042,534.74/2,886.62
  6. Step 6: Final answer
    x = 2,439.72

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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.