Home / 2,137.72-3,206.74-822.10

Finding the Fourth Proportional to 2,137.72, 3,206.74 and 822.10

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Solution

The fourth proportional to 2,137.72, 3,206.74 and 822.10 is: 1,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.72 : 3,206.74 = 822.10 : x
  2. Step 2: Convert to fraction form
    2,137.72/3,206.74 = 822.10/x
  3. Step 3: Cross multiply
    2,137.72x = 3,206.74 × 822.10
  4. Step 4: Simplify right side
    2,137.72x = 2,636,260.95
  5. Step 5: Solve for x
    x = 2,636,260.95/2,137.72
  6. Step 6: Final answer
    x = 1,233.21

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1.5x scale

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.