Home / 1,522.36-2,100.85-823.73

Finding the Fourth Proportional to 1,522.36, 2,100.85 and 823.73

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Solution

The fourth proportional to 1,522.36, 2,100.85 and 823.73 is: 1,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.36 : 2,100.85 = 823.73 : x
  2. Step 2: Convert to fraction form
    1,522.36/2,100.85 = 823.73/x
  3. Step 3: Cross multiply
    1,522.36x = 2,100.85 × 823.73
  4. Step 4: Simplify right side
    1,522.36x = 1,730,533.17
  5. Step 5: Solve for x
    x = 1,730,533.17/1,522.36
  6. Step 6: Final answer
    x = 1,136.74

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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.