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Finding the Fourth Proportional to 2,980.11, 4,473 and 2,190.09

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Solution

The fourth proportional to 2,980.11, 4,473 and 2,190.09 is: 3,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.11 : 4,473 = 2,190.09 : x
  2. Step 2: Convert to fraction form
    2,980.11/4,473 = 2,190.09/x
  3. Step 3: Cross multiply
    2,980.11x = 4,473 × 2,190.09
  4. Step 4: Simplify right side
    2,980.11x = 9,796,272.57
  5. Step 5: Solve for x
    x = 9,796,272.57/2,980.11
  6. Step 6: Final answer
    x = 3,287.22

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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.