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Finding the Fourth Proportional to 2,209, 3,048.31 and 1,324.63

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Solution

The fourth proportional to 2,209, 3,048.31 and 1,324.63 is: 1,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 3,048.31 = 1,324.63 : x
  2. Step 2: Convert to fraction form
    2,209/3,048.31 = 1,324.63/x
  3. Step 3: Cross multiply
    2,209x = 3,048.31 × 1,324.63
  4. Step 4: Simplify right side
    2,209x = 4,037,882.88
  5. Step 5: Solve for x
    x = 4,037,882.88/2,209
  6. Step 6: Final answer
    x = 1,827.92

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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.