Home / 2,084.46-3,127.41-786.66

Finding the Fourth Proportional to 2,084.46, 3,127.41 and 786.66

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Solution

The fourth proportional to 2,084.46, 3,127.41 and 786.66 is: 1,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.46 : 3,127.41 = 786.66 : x
  2. Step 2: Convert to fraction form
    2,084.46/3,127.41 = 786.66/x
  3. Step 3: Cross multiply
    2,084.46x = 3,127.41 × 786.66
  4. Step 4: Simplify right side
    2,084.46x = 2,460,208.35
  5. Step 5: Solve for x
    x = 2,460,208.35/2,084.46
  6. Step 6: Final answer
    x = 1,180.26

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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.