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Finding the Fourth Proportional to 2,380.78, 3,283.14 and 1,496.62

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Solution

The fourth proportional to 2,380.78, 3,283.14 and 1,496.62 is: 2,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.78 : 3,283.14 = 1,496.62 : x
  2. Step 2: Convert to fraction form
    2,380.78/3,283.14 = 1,496.62/x
  3. Step 3: Cross multiply
    2,380.78x = 3,283.14 × 1,496.62
  4. Step 4: Simplify right side
    2,380.78x = 4,913,612.99
  5. Step 5: Solve for x
    x = 4,913,612.99/2,380.78
  6. Step 6: Final answer
    x = 2,063.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.