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Finding the Fourth Proportional to 2,658.09, 3,668.09 and 1,538.87

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Solution

The fourth proportional to 2,658.09, 3,668.09 and 1,538.87 is: 2,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.09 : 3,668.09 = 1,538.87 : x
  2. Step 2: Convert to fraction form
    2,658.09/3,668.09 = 1,538.87/x
  3. Step 3: Cross multiply
    2,658.09x = 3,668.09 × 1,538.87
  4. Step 4: Simplify right side
    2,658.09x = 5,644,713.66
  5. Step 5: Solve for x
    x = 5,644,713.66/2,658.09
  6. Step 6: Final answer
    x = 2,123.60

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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.