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Finding the Fourth Proportional to 2,497.78, 3,740.82 and 1,974.26

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Solution

The fourth proportional to 2,497.78, 3,740.82 and 1,974.26 is: 2,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.78 : 3,740.82 = 1,974.26 : x
  2. Step 2: Convert to fraction form
    2,497.78/3,740.82 = 1,974.26/x
  3. Step 3: Cross multiply
    2,497.78x = 3,740.82 × 1,974.26
  4. Step 4: Simplify right side
    2,497.78x = 7,385,351.29
  5. Step 5: Solve for x
    x = 7,385,351.29/2,497.78
  6. Step 6: Final answer
    x = 2,956.77

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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.