Home / 1,427.42-1,965.90-1,230.86

Finding the Fourth Proportional to 1,427.42, 1,965.90 and 1,230.86

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Solution

The fourth proportional to 1,427.42, 1,965.90 and 1,230.86 is: 1,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.42 : 1,965.90 = 1,230.86 : x
  2. Step 2: Convert to fraction form
    1,427.42/1,965.90 = 1,230.86/x
  3. Step 3: Cross multiply
    1,427.42x = 1,965.90 × 1,230.86
  4. Step 4: Simplify right side
    1,427.42x = 2,419,747.67
  5. Step 5: Solve for x
    x = 2,419,747.67/1,427.42
  6. Step 6: Final answer
    x = 1,695.19

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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.