Home / 1,522.07-2,100.46-823.45

Finding the Fourth Proportional to 1,522.07, 2,100.46 and 823.45

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Solution

The fourth proportional to 1,522.07, 2,100.46 and 823.45 is: 1,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.07 : 2,100.46 = 823.45 : x
  2. Step 2: Convert to fraction form
    1,522.07/2,100.46 = 823.45/x
  3. Step 3: Cross multiply
    1,522.07x = 2,100.46 × 823.45
  4. Step 4: Simplify right side
    1,522.07x = 1,729,623.79
  5. Step 5: Solve for x
    x = 1,729,623.79/1,522.07
  6. Step 6: Final answer
    x = 1,136.36

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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.