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Finding the Fourth Proportional to 2,122.57, 3,182.82 and 661.72

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Solution

The fourth proportional to 2,122.57, 3,182.82 and 661.72 is: 992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.57 : 3,182.82 = 661.72 : x
  2. Step 2: Convert to fraction form
    2,122.57/3,182.82 = 661.72/x
  3. Step 3: Cross multiply
    2,122.57x = 3,182.82 × 661.72
  4. Step 4: Simplify right side
    2,122.57x = 2,106,135.65
  5. Step 5: Solve for x
    x = 2,106,135.65/2,122.57
  6. Step 6: Final answer
    x = 992.26

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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.