Home / 1,577.28-2,367.62-919.86

Finding the Fourth Proportional to 1,577.28, 2,367.62 and 919.86

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Solution

The fourth proportional to 1,577.28, 2,367.62 and 919.86 is: 1,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.28 : 2,367.62 = 919.86 : x
  2. Step 2: Convert to fraction form
    1,577.28/2,367.62 = 919.86/x
  3. Step 3: Cross multiply
    1,577.28x = 2,367.62 × 919.86
  4. Step 4: Simplify right side
    1,577.28x = 2,177,878.93
  5. Step 5: Solve for x
    x = 2,177,878.93/1,577.28
  6. Step 6: Final answer
    x = 1,380.78

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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.