Home / 1,521.81-2,100.10-823.19

Finding the Fourth Proportional to 1,521.81, 2,100.10 and 823.19

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Solution

The fourth proportional to 1,521.81, 2,100.10 and 823.19 is: 1,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.81 : 2,100.10 = 823.19 : x
  2. Step 2: Convert to fraction form
    1,521.81/2,100.10 = 823.19/x
  3. Step 3: Cross multiply
    1,521.81x = 2,100.10 × 823.19
  4. Step 4: Simplify right side
    1,521.81x = 1,728,781.78
  5. Step 5: Solve for x
    x = 1,728,781.78/1,521.81
  6. Step 6: Final answer
    x = 1,136.00

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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.