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Finding the Fourth Proportional to 1,414.34, 2,121.52 and 833.42

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Solution

The fourth proportional to 1,414.34, 2,121.52 and 833.42 is: 1,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.34 : 2,121.52 = 833.42 : x
  2. Step 2: Convert to fraction form
    1,414.34/2,121.52 = 833.42/x
  3. Step 3: Cross multiply
    1,414.34x = 2,121.52 × 833.42
  4. Step 4: Simplify right side
    1,414.34x = 1,768,117.20
  5. Step 5: Solve for x
    x = 1,768,117.20/1,414.34
  6. Step 6: Final answer
    x = 1,250.14

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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.