Home / 1,602.26-2,401.97-821.83

Finding the Fourth Proportional to 1,602.26, 2,401.97 and 821.83

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Solution

The fourth proportional to 1,602.26, 2,401.97 and 821.83 is: 1,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.26 : 2,401.97 = 821.83 : x
  2. Step 2: Convert to fraction form
    1,602.26/2,401.97 = 821.83/x
  3. Step 3: Cross multiply
    1,602.26x = 2,401.97 × 821.83
  4. Step 4: Simplify right side
    1,602.26x = 1,974,011.01
  5. Step 5: Solve for x
    x = 1,974,011.01/1,602.26
  6. Step 6: Final answer
    x = 1,232.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.