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Finding the Fourth Proportional to 2,074.91, 3,112.77 and 688.66

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Solution

The fourth proportional to 2,074.91, 3,112.77 and 688.66 is: 1,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.91 : 3,112.77 = 688.66 : x
  2. Step 2: Convert to fraction form
    2,074.91/3,112.77 = 688.66/x
  3. Step 3: Cross multiply
    2,074.91x = 3,112.77 × 688.66
  4. Step 4: Simplify right side
    2,074.91x = 2,143,640.19
  5. Step 5: Solve for x
    x = 2,143,640.19/2,074.91
  6. Step 6: Final answer
    x = 1,033.12

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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.