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Finding the Fourth Proportional to 1,450, 2,000.94 and 1,007.92

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Solution

The fourth proportional to 1,450, 2,000.94 and 1,007.92 is: 1,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450 : 2,000.94 = 1,007.92 : x
  2. Step 2: Convert to fraction form
    1,450/2,000.94 = 1,007.92/x
  3. Step 3: Cross multiply
    1,450x = 2,000.94 × 1,007.92
  4. Step 4: Simplify right side
    1,450x = 2,016,787.44
  5. Step 5: Solve for x
    x = 2,016,787.44/1,450
  6. Step 6: Final answer
    x = 1,390.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.