Home / 2,283.80-3,427.34-986.20

Finding the Fourth Proportional to 2,283.80, 3,427.34 and 986.20

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Solution

The fourth proportional to 2,283.80, 3,427.34 and 986.20 is: 1,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.80 : 3,427.34 = 986.20 : x
  2. Step 2: Convert to fraction form
    2,283.80/3,427.34 = 986.20/x
  3. Step 3: Cross multiply
    2,283.80x = 3,427.34 × 986.20
  4. Step 4: Simplify right side
    2,283.80x = 3,380,042.71
  5. Step 5: Solve for x
    x = 3,380,042.71/2,283.80
  6. Step 6: Final answer
    x = 1,480.01

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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.