Home / 1,521.95-2,100.27-823.32

Finding the Fourth Proportional to 1,521.95, 2,100.27 and 823.32

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Solution

The fourth proportional to 1,521.95, 2,100.27 and 823.32 is: 1,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.95 : 2,100.27 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,521.95/2,100.27 = 823.32/x
  3. Step 3: Cross multiply
    1,521.95x = 2,100.27 × 823.32
  4. Step 4: Simplify right side
    1,521.95x = 1,729,194.30
  5. Step 5: Solve for x
    x = 1,729,194.30/1,521.95
  6. Step 6: Final answer
    x = 1,136.17

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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.