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Finding the Fourth Proportional to 3,165.97, 4,368.57 and 1,987.42

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Solution

The fourth proportional to 3,165.97, 4,368.57 and 1,987.42 is: 2,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.97 : 4,368.57 = 1,987.42 : x
  2. Step 2: Convert to fraction form
    3,165.97/4,368.57 = 1,987.42/x
  3. Step 3: Cross multiply
    3,165.97x = 4,368.57 × 1,987.42
  4. Step 4: Simplify right side
    3,165.97x = 8,682,161.55
  5. Step 5: Solve for x
    x = 8,682,161.55/3,165.97
  6. Step 6: Final answer
    x = 2,742.34

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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.