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Finding the Fourth Proportional to 3,371.34, 5,059.17 and 1,639.02

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Solution

The fourth proportional to 3,371.34, 5,059.17 and 1,639.02 is: 2,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.34 : 5,059.17 = 1,639.02 : x
  2. Step 2: Convert to fraction form
    3,371.34/5,059.17 = 1,639.02/x
  3. Step 3: Cross multiply
    3,371.34x = 5,059.17 × 1,639.02
  4. Step 4: Simplify right side
    3,371.34x = 8,292,080.81
  5. Step 5: Solve for x
    x = 8,292,080.81/3,371.34
  6. Step 6: Final answer
    x = 2,459.58

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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.