Home / 1,521.75-2,100.02-823.13

Finding the Fourth Proportional to 1,521.75, 2,100.02 and 823.13

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Solution

The fourth proportional to 1,521.75, 2,100.02 and 823.13 is: 1,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.75 : 2,100.02 = 823.13 : x
  2. Step 2: Convert to fraction form
    1,521.75/2,100.02 = 823.13/x
  3. Step 3: Cross multiply
    1,521.75x = 2,100.02 × 823.13
  4. Step 4: Simplify right side
    1,521.75x = 1,728,574.85
  5. Step 5: Solve for x
    x = 1,728,574.85/1,521.75
  6. Step 6: Final answer
    x = 1,135.91

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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.