Home / 1,522.26-2,100.70-823.62

Finding the Fourth Proportional to 1,522.26, 2,100.70 and 823.62

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Solution

The fourth proportional to 1,522.26, 2,100.70 and 823.62 is: 1,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,100.70 = 823.62 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,100.70 = 823.62/x
  3. Step 3: Cross multiply
    1,522.26x = 2,100.70 × 823.62
  4. Step 4: Simplify right side
    1,522.26x = 1,730,178.53
  5. Step 5: Solve for x
    x = 1,730,178.53/1,522.26
  6. Step 6: Final answer
    x = 1,136.59

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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.