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Finding the Fourth Proportional to 3,889.55, 5,832.81 and 1,696.79

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Solution

The fourth proportional to 3,889.55, 5,832.81 and 1,696.79 is: 2,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.55 : 5,832.81 = 1,696.79 : x
  2. Step 2: Convert to fraction form
    3,889.55/5,832.81 = 1,696.79/x
  3. Step 3: Cross multiply
    3,889.55x = 5,832.81 × 1,696.79
  4. Step 4: Simplify right side
    3,889.55x = 9,897,068.26
  5. Step 5: Solve for x
    x = 9,897,068.26/3,889.55
  6. Step 6: Final answer
    x = 2,544.53

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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.