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Finding the Fourth Proportional to 2,764.71, 4,144.99 and 1,668.82

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Solution

The fourth proportional to 2,764.71, 4,144.99 and 1,668.82 is: 2,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.71 : 4,144.99 = 1,668.82 : x
  2. Step 2: Convert to fraction form
    2,764.71/4,144.99 = 1,668.82/x
  3. Step 3: Cross multiply
    2,764.71x = 4,144.99 × 1,668.82
  4. Step 4: Simplify right side
    2,764.71x = 6,917,242.21
  5. Step 5: Solve for x
    x = 6,917,242.21/2,764.71
  6. Step 6: Final answer
    x = 2,501.98

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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.