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Finding the Fourth Proportional to 1,957.64, 2,942.19 and 1,630.67

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Solution

The fourth proportional to 1,957.64, 2,942.19 and 1,630.67 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.64 : 2,942.19 = 1,630.67 : x
  2. Step 2: Convert to fraction form
    1,957.64/2,942.19 = 1,630.67/x
  3. Step 3: Cross multiply
    1,957.64x = 2,942.19 × 1,630.67
  4. Step 4: Simplify right side
    1,957.64x = 4,797,726.26
  5. Step 5: Solve for x
    x = 4,797,726.26/1,957.64
  6. Step 6: Final answer
    x = 2,450.78

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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.