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Finding the Fourth Proportional to 2,447.43, 3,671.55 and 986.73

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Solution

The fourth proportional to 2,447.43, 3,671.55 and 986.73 is: 1,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.43 : 3,671.55 = 986.73 : x
  2. Step 2: Convert to fraction form
    2,447.43/3,671.55 = 986.73/x
  3. Step 3: Cross multiply
    2,447.43x = 3,671.55 × 986.73
  4. Step 4: Simplify right side
    2,447.43x = 3,622,828.53
  5. Step 5: Solve for x
    x = 3,622,828.53/2,447.43
  6. Step 6: Final answer
    x = 1,480.26

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1.5x scale

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.