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Finding the Fourth Proportional to 1,964.64, 2,942.90 and 1,874.46

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Solution

The fourth proportional to 1,964.64, 2,942.90 and 1,874.46 is: 2,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.64 : 2,942.90 = 1,874.46 : x
  2. Step 2: Convert to fraction form
    1,964.64/2,942.90 = 1,874.46/x
  3. Step 3: Cross multiply
    1,964.64x = 2,942.90 × 1,874.46
  4. Step 4: Simplify right side
    1,964.64x = 5,516,348.33
  5. Step 5: Solve for x
    x = 5,516,348.33/1,964.64
  6. Step 6: Final answer
    x = 2,807.82

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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.