Home / 1,522.11-2,100.51-823.49

Finding the Fourth Proportional to 1,522.11, 2,100.51 and 823.49

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Solution

The fourth proportional to 1,522.11, 2,100.51 and 823.49 is: 1,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.11 : 2,100.51 = 823.49 : x
  2. Step 2: Convert to fraction form
    1,522.11/2,100.51 = 823.49/x
  3. Step 3: Cross multiply
    1,522.11x = 2,100.51 × 823.49
  4. Step 4: Simplify right side
    1,522.11x = 1,729,738.48
  5. Step 5: Solve for x
    x = 1,729,738.48/1,522.11
  6. Step 6: Final answer
    x = 1,136.41

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1.5x scale

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.