Home / 1,577.96-2,177.62-905.82

Finding the Fourth Proportional to 1,577.96, 2,177.62 and 905.82

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Solution

The fourth proportional to 1,577.96, 2,177.62 and 905.82 is: 1,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.96 : 2,177.62 = 905.82 : x
  2. Step 2: Convert to fraction form
    1,577.96/2,177.62 = 905.82/x
  3. Step 3: Cross multiply
    1,577.96x = 2,177.62 × 905.82
  4. Step 4: Simplify right side
    1,577.96x = 1,972,520.86
  5. Step 5: Solve for x
    x = 1,972,520.86/1,577.96
  6. Step 6: Final answer
    x = 1,250.05

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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.