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Finding the Fourth Proportional to 3,193.97, 4,792.31 and 1,345.49

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Solution

The fourth proportional to 3,193.97, 4,792.31 and 1,345.49 is: 2,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.97 : 4,792.31 = 1,345.49 : x
  2. Step 2: Convert to fraction form
    3,193.97/4,792.31 = 1,345.49/x
  3. Step 3: Cross multiply
    3,193.97x = 4,792.31 × 1,345.49
  4. Step 4: Simplify right side
    3,193.97x = 6,447,974.49
  5. Step 5: Solve for x
    x = 6,447,974.49/3,193.97
  6. Step 6: Final answer
    x = 2,018.80

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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.