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Finding the Fourth Proportional to 2,339.99, 3,229.14 and 1,277.76

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Solution

The fourth proportional to 2,339.99, 3,229.14 and 1,277.76 is: 1,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.99 : 3,229.14 = 1,277.76 : x
  2. Step 2: Convert to fraction form
    2,339.99/3,229.14 = 1,277.76/x
  3. Step 3: Cross multiply
    2,339.99x = 3,229.14 × 1,277.76
  4. Step 4: Simplify right side
    2,339.99x = 4,126,065.93
  5. Step 5: Solve for x
    x = 4,126,065.93/2,339.99
  6. Step 6: Final answer
    x = 1,763.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.