Home / 2,031-2,803.26-1,191.75

Finding the Fourth Proportional to 2,031, 2,803.26 and 1,191.75

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Solution

The fourth proportional to 2,031, 2,803.26 and 1,191.75 is: 1,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031 : 2,803.26 = 1,191.75 : x
  2. Step 2: Convert to fraction form
    2,031/2,803.26 = 1,191.75/x
  3. Step 3: Cross multiply
    2,031x = 2,803.26 × 1,191.75
  4. Step 4: Simplify right side
    2,031x = 3,340,785.11
  5. Step 5: Solve for x
    x = 3,340,785.11/2,031
  6. Step 6: Final answer
    x = 1,644.90

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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.