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Finding the Fourth Proportional to 3,143.58, 4,340.31 and 1,965.18

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Solution

The fourth proportional to 3,143.58, 4,340.31 and 1,965.18 is: 2,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.58 : 4,340.31 = 1,965.18 : x
  2. Step 2: Convert to fraction form
    3,143.58/4,340.31 = 1,965.18/x
  3. Step 3: Cross multiply
    3,143.58x = 4,340.31 × 1,965.18
  4. Step 4: Simplify right side
    3,143.58x = 8,529,490.41
  5. Step 5: Solve for x
    x = 8,529,490.41/3,143.58
  6. Step 6: Final answer
    x = 2,713.30

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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.