Home / 1,772.45-2,446.07-986.54

Finding the Fourth Proportional to 1,772.45, 2,446.07 and 986.54

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Solution

The fourth proportional to 1,772.45, 2,446.07 and 986.54 is: 1,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.45 : 2,446.07 = 986.54 : x
  2. Step 2: Convert to fraction form
    1,772.45/2,446.07 = 986.54/x
  3. Step 3: Cross multiply
    1,772.45x = 2,446.07 × 986.54
  4. Step 4: Simplify right side
    1,772.45x = 2,413,128.73
  5. Step 5: Solve for x
    x = 2,413,128.73/1,772.45
  6. Step 6: Final answer
    x = 1,361.47

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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.