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Finding the Fourth Proportional to 2,647.14, 3,967.70 and 891.73

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Solution

The fourth proportional to 2,647.14, 3,967.70 and 891.73 is: 1,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.14 : 3,967.70 = 891.73 : x
  2. Step 2: Convert to fraction form
    2,647.14/3,967.70 = 891.73/x
  3. Step 3: Cross multiply
    2,647.14x = 3,967.70 × 891.73
  4. Step 4: Simplify right side
    2,647.14x = 3,538,117.12
  5. Step 5: Solve for x
    x = 3,538,117.12/2,647.14
  6. Step 6: Final answer
    x = 1,336.58

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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.