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Finding the Fourth Proportional to 1,912.44, 2,867.98 and 871.58

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Solution

The fourth proportional to 1,912.44, 2,867.98 and 871.58 is: 1,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.44 : 2,867.98 = 871.58 : x
  2. Step 2: Convert to fraction form
    1,912.44/2,867.98 = 871.58/x
  3. Step 3: Cross multiply
    1,912.44x = 2,867.98 × 871.58
  4. Step 4: Simplify right side
    1,912.44x = 2,499,674.01
  5. Step 5: Solve for x
    x = 2,499,674.01/1,912.44
  6. Step 6: Final answer
    x = 1,307.06

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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.