Home / 1,447.28-1,999.52-949.74

Finding the Fourth Proportional to 1,447.28, 1,999.52 and 949.74

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Solution

The fourth proportional to 1,447.28, 1,999.52 and 949.74 is: 1,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.28 : 1,999.52 = 949.74 : x
  2. Step 2: Convert to fraction form
    1,447.28/1,999.52 = 949.74/x
  3. Step 3: Cross multiply
    1,447.28x = 1,999.52 × 949.74
  4. Step 4: Simplify right side
    1,447.28x = 1,899,024.12
  5. Step 5: Solve for x
    x = 1,899,024.12/1,447.28
  6. Step 6: Final answer
    x = 1,312.13

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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.