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Finding the Fourth Proportional to 2,658.35, 3,668.10 and 1,539.39

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Solution

The fourth proportional to 2,658.35, 3,668.10 and 1,539.39 is: 2,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.35 : 3,668.10 = 1,539.39 : x
  2. Step 2: Convert to fraction form
    2,658.35/3,668.10 = 1,539.39/x
  3. Step 3: Cross multiply
    2,658.35x = 3,668.10 × 1,539.39
  4. Step 4: Simplify right side
    2,658.35x = 5,646,636.46
  5. Step 5: Solve for x
    x = 5,646,636.46/2,658.35
  6. Step 6: Final answer
    x = 2,124.12

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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.