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Finding the Fourth Proportional to 2,340.70, 3,230.22 and 1,278.46

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Solution

The fourth proportional to 2,340.70, 3,230.22 and 1,278.46 is: 1,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.70 : 3,230.22 = 1,278.46 : x
  2. Step 2: Convert to fraction form
    2,340.70/3,230.22 = 1,278.46/x
  3. Step 3: Cross multiply
    2,340.70x = 3,230.22 × 1,278.46
  4. Step 4: Simplify right side
    2,340.70x = 4,129,707.06
  5. Step 5: Solve for x
    x = 4,129,707.06/2,340.70
  6. Step 6: Final answer
    x = 1,764.30

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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.