Home / 2,271.87-3,408.48-1,177.02

Finding the Fourth Proportional to 2,271.87, 3,408.48 and 1,177.02

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Solution

The fourth proportional to 2,271.87, 3,408.48 and 1,177.02 is: 1,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.87 : 3,408.48 = 1,177.02 : x
  2. Step 2: Convert to fraction form
    2,271.87/3,408.48 = 1,177.02/x
  3. Step 3: Cross multiply
    2,271.87x = 3,408.48 × 1,177.02
  4. Step 4: Simplify right side
    2,271.87x = 4,011,849.13
  5. Step 5: Solve for x
    x = 4,011,849.13/2,271.87
  6. Step 6: Final answer
    x = 1,765.88

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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.