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Finding the Fourth Proportional to 4,272.66, 6,408 and 1,639.26

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Solution

The fourth proportional to 4,272.66, 6,408 and 1,639.26 is: 2,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.66 : 6,408 = 1,639.26 : x
  2. Step 2: Convert to fraction form
    4,272.66/6,408 = 1,639.26/x
  3. Step 3: Cross multiply
    4,272.66x = 6,408 × 1,639.26
  4. Step 4: Simplify right side
    4,272.66x = 10,504,378.08
  5. Step 5: Solve for x
    x = 10,504,378.08/4,272.66
  6. Step 6: Final answer
    x = 2,458.51

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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.