Home / 1,228.45-1,843.56-921.13

Finding the Fourth Proportional to 1,228.45, 1,843.56 and 921.13

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Solution

The fourth proportional to 1,228.45, 1,843.56 and 921.13 is: 1,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.45 : 1,843.56 = 921.13 : x
  2. Step 2: Convert to fraction form
    1,228.45/1,843.56 = 921.13/x
  3. Step 3: Cross multiply
    1,228.45x = 1,843.56 × 921.13
  4. Step 4: Simplify right side
    1,228.45x = 1,698,159.57
  5. Step 5: Solve for x
    x = 1,698,159.57/1,228.45
  6. Step 6: Final answer
    x = 1,382.36

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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.