Home / 1,261.17-1,891.75-324.11

Finding the Fourth Proportional to 1,261.17, 1,891.75 and 324.11

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Solution

The fourth proportional to 1,261.17, 1,891.75 and 324.11 is: 486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.17 : 1,891.75 = 324.11 : x
  2. Step 2: Convert to fraction form
    1,261.17/1,891.75 = 324.11/x
  3. Step 3: Cross multiply
    1,261.17x = 1,891.75 × 324.11
  4. Step 4: Simplify right side
    1,261.17x = 613,140.23
  5. Step 5: Solve for x
    x = 613,140.23/1,261.17
  6. Step 6: Final answer
    x = 486.17

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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.