Home / 2,557.43-3,833-1,324.14

Finding the Fourth Proportional to 2,557.43, 3,833 and 1,324.14

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Solution

The fourth proportional to 2,557.43, 3,833 and 1,324.14 is: 1,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.43 : 3,833 = 1,324.14 : x
  2. Step 2: Convert to fraction form
    2,557.43/3,833 = 1,324.14/x
  3. Step 3: Cross multiply
    2,557.43x = 3,833 × 1,324.14
  4. Step 4: Simplify right side
    2,557.43x = 5,075,409.46
  5. Step 5: Solve for x
    x = 5,075,409.46/2,557.43
  6. Step 6: Final answer
    x = 1,984.57

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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.