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Finding the Fourth Proportional to 1,922.25, 2,882.19 and 689.43

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Solution

The fourth proportional to 1,922.25, 2,882.19 and 689.43 is: 1,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.25 : 2,882.19 = 689.43 : x
  2. Step 2: Convert to fraction form
    1,922.25/2,882.19 = 689.43/x
  3. Step 3: Cross multiply
    1,922.25x = 2,882.19 × 689.43
  4. Step 4: Simplify right side
    1,922.25x = 1,987,068.25
  5. Step 5: Solve for x
    x = 1,987,068.25/1,922.25
  6. Step 6: Final answer
    x = 1,033.72

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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.