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Finding the Fourth Proportional to 4,138.48, 6,209.10 and 1,671.96

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Solution

The fourth proportional to 4,138.48, 6,209.10 and 1,671.96 is: 2,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.48 : 6,209.10 = 1,671.96 : x
  2. Step 2: Convert to fraction form
    4,138.48/6,209.10 = 1,671.96/x
  3. Step 3: Cross multiply
    4,138.48x = 6,209.10 × 1,671.96
  4. Step 4: Simplify right side
    4,138.48x = 10,381,366.84
  5. Step 5: Solve for x
    x = 10,381,366.84/4,138.48
  6. Step 6: Final answer
    x = 2,508.50

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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.