Home / 2,126.20-3,189.30-828.58

Finding the Fourth Proportional to 2,126.20, 3,189.30 and 828.58

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Solution

The fourth proportional to 2,126.20, 3,189.30 and 828.58 is: 1,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.20 : 3,189.30 = 828.58 : x
  2. Step 2: Convert to fraction form
    2,126.20/3,189.30 = 828.58/x
  3. Step 3: Cross multiply
    2,126.20x = 3,189.30 × 828.58
  4. Step 4: Simplify right side
    2,126.20x = 2,642,590.19
  5. Step 5: Solve for x
    x = 2,642,590.19/2,126.20
  6. Step 6: Final answer
    x = 1,242.87

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1.5x scale

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.