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Finding the Fourth Proportional to 1,863.76, 2,797.56 and 1,375.20

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Solution

The fourth proportional to 1,863.76, 2,797.56 and 1,375.20 is: 2,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.76 : 2,797.56 = 1,375.20 : x
  2. Step 2: Convert to fraction form
    1,863.76/2,797.56 = 1,375.20/x
  3. Step 3: Cross multiply
    1,863.76x = 2,797.56 × 1,375.20
  4. Step 4: Simplify right side
    1,863.76x = 3,847,204.51
  5. Step 5: Solve for x
    x = 3,847,204.51/1,863.76
  6. Step 6: Final answer
    x = 2,064.22

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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.