Home / 2,781.24-3,838.01-1,522.24

Finding the Fourth Proportional to 2,781.24, 3,838.01 and 1,522.24

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Solution

The fourth proportional to 2,781.24, 3,838.01 and 1,522.24 is: 2,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.24 : 3,838.01 = 1,522.24 : x
  2. Step 2: Convert to fraction form
    2,781.24/3,838.01 = 1,522.24/x
  3. Step 3: Cross multiply
    2,781.24x = 3,838.01 × 1,522.24
  4. Step 4: Simplify right side
    2,781.24x = 5,842,381.01
  5. Step 5: Solve for x
    x = 5,842,381.01/2,781.24
  6. Step 6: Final answer
    x = 2,100.64

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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.