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Finding the Fourth Proportional to 2,438.62, 3,657.96 and 1,208.62

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Solution

The fourth proportional to 2,438.62, 3,657.96 and 1,208.62 is: 1,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.62 : 3,657.96 = 1,208.62 : x
  2. Step 2: Convert to fraction form
    2,438.62/3,657.96 = 1,208.62/x
  3. Step 3: Cross multiply
    2,438.62x = 3,657.96 × 1,208.62
  4. Step 4: Simplify right side
    2,438.62x = 4,421,083.62
  5. Step 5: Solve for x
    x = 4,421,083.62/2,438.62
  6. Step 6: Final answer
    x = 1,812.94

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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.