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Finding the Fourth Proportional to 3,143.70, 4,339.80 and 1,965.15

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Solution

The fourth proportional to 3,143.70, 4,339.80 and 1,965.15 is: 2,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,339.80 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,339.80 = 1,965.15/x
  3. Step 3: Cross multiply
    3,143.70x = 4,339.80 × 1,965.15
  4. Step 4: Simplify right side
    3,143.70x = 8,528,357.97
  5. Step 5: Solve for x
    x = 8,528,357.97/3,143.70
  6. Step 6: Final answer
    x = 2,712.84

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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.