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Finding the Fourth Proportional to 2,384.62, 3,590.91 and 2,080.11

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Solution

The fourth proportional to 2,384.62, 3,590.91 and 2,080.11 is: 3,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.62 : 3,590.91 = 2,080.11 : x
  2. Step 2: Convert to fraction form
    2,384.62/3,590.91 = 2,080.11/x
  3. Step 3: Cross multiply
    2,384.62x = 3,590.91 × 2,080.11
  4. Step 4: Simplify right side
    2,384.62x = 7,469,487.80
  5. Step 5: Solve for x
    x = 7,469,487.80/2,384.62
  6. Step 6: Final answer
    x = 3,132.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.