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Finding the Fourth Proportional to 2,687.44, 4,031.16 and 739.66

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Solution

The fourth proportional to 2,687.44, 4,031.16 and 739.66 is: 1,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.44 : 4,031.16 = 739.66 : x
  2. Step 2: Convert to fraction form
    2,687.44/4,031.16 = 739.66/x
  3. Step 3: Cross multiply
    2,687.44x = 4,031.16 × 739.66
  4. Step 4: Simplify right side
    2,687.44x = 2,981,687.81
  5. Step 5: Solve for x
    x = 2,981,687.81/2,687.44
  6. Step 6: Final answer
    x = 1,109.49

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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.