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Finding the Fourth Proportional to 1,414.70, 2,121.03 and 951.33

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Solution

The fourth proportional to 1,414.70, 2,121.03 and 951.33 is: 1,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.70 : 2,121.03 = 951.33 : x
  2. Step 2: Convert to fraction form
    1,414.70/2,121.03 = 951.33/x
  3. Step 3: Cross multiply
    1,414.70x = 2,121.03 × 951.33
  4. Step 4: Simplify right side
    1,414.70x = 2,017,807.42
  5. Step 5: Solve for x
    x = 2,017,807.42/1,414.70
  6. Step 6: Final answer
    x = 1,426.32

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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.