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Finding the Fourth Proportional to 3,665.22, 5,497.83 and 891.87

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Solution

The fourth proportional to 3,665.22, 5,497.83 and 891.87 is: 1,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.22 : 5,497.83 = 891.87 : x
  2. Step 2: Convert to fraction form
    3,665.22/5,497.83 = 891.87/x
  3. Step 3: Cross multiply
    3,665.22x = 5,497.83 × 891.87
  4. Step 4: Simplify right side
    3,665.22x = 4,903,359.95
  5. Step 5: Solve for x
    x = 4,903,359.95/3,665.22
  6. Step 6: Final answer
    x = 1,337.81

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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.