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Finding the Fourth Proportional to 4,924.92, 7,386.66 and 1,638

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Solution

The fourth proportional to 4,924.92, 7,386.66 and 1,638 is: 2,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.92 : 7,386.66 = 1,638 : x
  2. Step 2: Convert to fraction form
    4,924.92/7,386.66 = 1,638/x
  3. Step 3: Cross multiply
    4,924.92x = 7,386.66 × 1,638
  4. Step 4: Simplify right side
    4,924.92x = 12,099,349.08
  5. Step 5: Solve for x
    x = 12,099,349.08/4,924.92
  6. Step 6: Final answer
    x = 2,456.76

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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.