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Finding the Fourth Proportional to 3,664.50, 5,496.70 and 891.16

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Solution

The fourth proportional to 3,664.50, 5,496.70 and 891.16 is: 1,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.50 : 5,496.70 = 891.16 : x
  2. Step 2: Convert to fraction form
    3,664.50/5,496.70 = 891.16/x
  3. Step 3: Cross multiply
    3,664.50x = 5,496.70 × 891.16
  4. Step 4: Simplify right side
    3,664.50x = 4,898,434.72
  5. Step 5: Solve for x
    x = 4,898,434.72/3,664.50
  6. Step 6: Final answer
    x = 1,336.73

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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.