Home / 2,076.81-3,114.40-921.75

Finding the Fourth Proportional to 2,076.81, 3,114.40 and 921.75

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Solution

The fourth proportional to 2,076.81, 3,114.40 and 921.75 is: 1,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.81 : 3,114.40 = 921.75 : x
  2. Step 2: Convert to fraction form
    2,076.81/3,114.40 = 921.75/x
  3. Step 3: Cross multiply
    2,076.81x = 3,114.40 × 921.75
  4. Step 4: Simplify right side
    2,076.81x = 2,870,698.20
  5. Step 5: Solve for x
    x = 2,870,698.20/2,076.81
  6. Step 6: Final answer
    x = 1,382.26

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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.