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Finding the Fourth Proportional to 2,643.06, 3,964.67 and 1,472.41

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Solution

The fourth proportional to 2,643.06, 3,964.67 and 1,472.41 is: 2,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.06 : 3,964.67 = 1,472.41 : x
  2. Step 2: Convert to fraction form
    2,643.06/3,964.67 = 1,472.41/x
  3. Step 3: Cross multiply
    2,643.06x = 3,964.67 × 1,472.41
  4. Step 4: Simplify right side
    2,643.06x = 5,837,622.87
  5. Step 5: Solve for x
    x = 5,837,622.87/2,643.06
  6. Step 6: Final answer
    x = 2,208.66

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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.