Home / 2,074.08-3,111.65-687.80

Finding the Fourth Proportional to 2,074.08, 3,111.65 and 687.80

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Solution

The fourth proportional to 2,074.08, 3,111.65 and 687.80 is: 1,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.08 : 3,111.65 = 687.80 : x
  2. Step 2: Convert to fraction form
    2,074.08/3,111.65 = 687.80/x
  3. Step 3: Cross multiply
    2,074.08x = 3,111.65 × 687.80
  4. Step 4: Simplify right side
    2,074.08x = 2,140,207.07
  5. Step 5: Solve for x
    x = 2,140,207.07/2,074.08
  6. Step 6: Final answer
    x = 1,031.88

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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.