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Finding the Fourth Proportional to 2,353.80, 3,247.20 and 1,358.88

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Solution

The fourth proportional to 2,353.80, 3,247.20 and 1,358.88 is: 1,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.80 : 3,247.20 = 1,358.88 : x
  2. Step 2: Convert to fraction form
    2,353.80/3,247.20 = 1,358.88/x
  3. Step 3: Cross multiply
    2,353.80x = 3,247.20 × 1,358.88
  4. Step 4: Simplify right side
    2,353.80x = 4,412,555.14
  5. Step 5: Solve for x
    x = 4,412,555.14/2,353.80
  6. Step 6: Final answer
    x = 1,874.65

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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.