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Finding the Fourth Proportional to 2,191, 3,024.68 and 1,571.08

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Solution

The fourth proportional to 2,191, 3,024.68 and 1,571.08 is: 2,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,024.68 = 1,571.08 : x
  2. Step 2: Convert to fraction form
    2,191/3,024.68 = 1,571.08/x
  3. Step 3: Cross multiply
    2,191x = 3,024.68 × 1,571.08
  4. Step 4: Simplify right side
    2,191x = 4,752,014.25
  5. Step 5: Solve for x
    x = 4,752,014.25/2,191
  6. Step 6: Final answer
    x = 2,168.88

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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.