Home / 1,519.75-2,097.26-821.13

Finding the Fourth Proportional to 1,519.75, 2,097.26 and 821.13

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Solution

The fourth proportional to 1,519.75, 2,097.26 and 821.13 is: 1,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.75 : 2,097.26 = 821.13 : x
  2. Step 2: Convert to fraction form
    1,519.75/2,097.26 = 821.13/x
  3. Step 3: Cross multiply
    1,519.75x = 2,097.26 × 821.13
  4. Step 4: Simplify right side
    1,519.75x = 1,722,123.10
  5. Step 5: Solve for x
    x = 1,722,123.10/1,519.75
  6. Step 6: Final answer
    x = 1,133.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.