Home / 1,521.97-2,100.32-823.35

Finding the Fourth Proportional to 1,521.97, 2,100.32 and 823.35

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Solution

The fourth proportional to 1,521.97, 2,100.32 and 823.35 is: 1,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.97 : 2,100.32 = 823.35 : x
  2. Step 2: Convert to fraction form
    1,521.97/2,100.32 = 823.35/x
  3. Step 3: Cross multiply
    1,521.97x = 2,100.32 × 823.35
  4. Step 4: Simplify right side
    1,521.97x = 1,729,298.47
  5. Step 5: Solve for x
    x = 1,729,298.47/1,521.97
  6. Step 6: Final answer
    x = 1,136.22

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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.