Home / 1,744.98-2,618.07-821.24

Finding the Fourth Proportional to 1,744.98, 2,618.07 and 821.24

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Solution

The fourth proportional to 1,744.98, 2,618.07 and 821.24 is: 1,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.98 : 2,618.07 = 821.24 : x
  2. Step 2: Convert to fraction form
    1,744.98/2,618.07 = 821.24/x
  3. Step 3: Cross multiply
    1,744.98x = 2,618.07 × 821.24
  4. Step 4: Simplify right side
    1,744.98x = 2,150,062.07
  5. Step 5: Solve for x
    x = 2,150,062.07/1,744.98
  6. Step 6: Final answer
    x = 1,232.14

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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.