Home / 1,223.12-1,838.73-949.34

Finding the Fourth Proportional to 1,223.12, 1,838.73 and 949.34

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Solution

The fourth proportional to 1,223.12, 1,838.73 and 949.34 is: 1,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.12 : 1,838.73 = 949.34 : x
  2. Step 2: Convert to fraction form
    1,223.12/1,838.73 = 949.34/x
  3. Step 3: Cross multiply
    1,223.12x = 1,838.73 × 949.34
  4. Step 4: Simplify right side
    1,223.12x = 1,745,570.74
  5. Step 5: Solve for x
    x = 1,745,570.74/1,223.12
  6. Step 6: Final answer
    x = 1,427.15

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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.