Home / 2,124.12-3,184.56-824.88

Finding the Fourth Proportional to 2,124.12, 3,184.56 and 824.88

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Solution

The fourth proportional to 2,124.12, 3,184.56 and 824.88 is: 1,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.12 : 3,184.56 = 824.88 : x
  2. Step 2: Convert to fraction form
    2,124.12/3,184.56 = 824.88/x
  3. Step 3: Cross multiply
    2,124.12x = 3,184.56 × 824.88
  4. Step 4: Simplify right side
    2,124.12x = 2,626,879.85
  5. Step 5: Solve for x
    x = 2,626,879.85/2,124.12
  6. Step 6: Final answer
    x = 1,236.69

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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.