Home / 2,165.64-3,249.35-916.53

Finding the Fourth Proportional to 2,165.64, 3,249.35 and 916.53

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Solution

The fourth proportional to 2,165.64, 3,249.35 and 916.53 is: 1,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 3,249.35 = 916.53 : x
  2. Step 2: Convert to fraction form
    2,165.64/3,249.35 = 916.53/x
  3. Step 3: Cross multiply
    2,165.64x = 3,249.35 × 916.53
  4. Step 4: Simplify right side
    2,165.64x = 2,978,131.70
  5. Step 5: Solve for x
    x = 2,978,131.70/2,165.64
  6. Step 6: Final answer
    x = 1,375.18

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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.