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Finding the Fourth Proportional to 2,668.43, 4,002.66 and 1,571.49

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Solution

The fourth proportional to 2,668.43, 4,002.66 and 1,571.49 is: 2,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.43 : 4,002.66 = 1,571.49 : x
  2. Step 2: Convert to fraction form
    2,668.43/4,002.66 = 1,571.49/x
  3. Step 3: Cross multiply
    2,668.43x = 4,002.66 × 1,571.49
  4. Step 4: Simplify right side
    2,668.43x = 6,290,140.16
  5. Step 5: Solve for x
    x = 6,290,140.16/2,668.43
  6. Step 6: Final answer
    x = 2,357.24

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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.