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Finding the Fourth Proportional to 3,977.65, 5,489 and 2,209.22

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Solution

The fourth proportional to 3,977.65, 5,489 and 2,209.22 is: 3,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.65 : 5,489 = 2,209.22 : x
  2. Step 2: Convert to fraction form
    3,977.65/5,489 = 2,209.22/x
  3. Step 3: Cross multiply
    3,977.65x = 5,489 × 2,209.22
  4. Step 4: Simplify right side
    3,977.65x = 12,126,381.14
  5. Step 5: Solve for x
    x = 12,126,381.14/3,977.65
  6. Step 6: Final answer
    x = 3,048.63

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Why These Related Problems?

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