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Finding the Fourth Proportional to 4,072, 5,619.38 and 2,209

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Solution

The fourth proportional to 4,072, 5,619.38 and 2,209 is: 3,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 5,619.38 = 2,209 : x
  2. Step 2: Convert to fraction form
    4,072/5,619.38 = 2,209/x
  3. Step 3: Cross multiply
    4,072x = 5,619.38 × 2,209
  4. Step 4: Simplify right side
    4,072x = 12,413,210.42
  5. Step 5: Solve for x
    x = 12,413,210.42/4,072
  6. Step 6: Final answer
    x = 3,048.43

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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.