Home / 1,238.30-1,856.20-949.13

Finding the Fourth Proportional to 1,238.30, 1,856.20 and 949.13

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Solution

The fourth proportional to 1,238.30, 1,856.20 and 949.13 is: 1,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.30 : 1,856.20 = 949.13 : x
  2. Step 2: Convert to fraction form
    1,238.30/1,856.20 = 949.13/x
  3. Step 3: Cross multiply
    1,238.30x = 1,856.20 × 949.13
  4. Step 4: Simplify right side
    1,238.30x = 1,761,775.11
  5. Step 5: Solve for x
    x = 1,761,775.11/1,238.30
  6. Step 6: Final answer
    x = 1,422.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.