Home / 2,138.69-3,207.27-822.53

Finding the Fourth Proportional to 2,138.69, 3,207.27 and 822.53

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Solution

The fourth proportional to 2,138.69, 3,207.27 and 822.53 is: 1,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.69 : 3,207.27 = 822.53 : x
  2. Step 2: Convert to fraction form
    2,138.69/3,207.27 = 822.53/x
  3. Step 3: Cross multiply
    2,138.69x = 3,207.27 × 822.53
  4. Step 4: Simplify right side
    2,138.69x = 2,638,075.79
  5. Step 5: Solve for x
    x = 2,638,075.79/2,138.69
  6. Step 6: Final answer
    x = 1,233.50

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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.