Home / 2,172.24-3,255.30-1,683

Finding the Fourth Proportional to 2,172.24, 3,255.30 and 1,683

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Solution

The fourth proportional to 2,172.24, 3,255.30 and 1,683 is: 2,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.24 : 3,255.30 = 1,683 : x
  2. Step 2: Convert to fraction form
    2,172.24/3,255.30 = 1,683/x
  3. Step 3: Cross multiply
    2,172.24x = 3,255.30 × 1,683
  4. Step 4: Simplify right side
    2,172.24x = 5,478,669.90
  5. Step 5: Solve for x
    x = 5,478,669.90/2,172.24
  6. Step 6: Final answer
    x = 2,522.13

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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.