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Finding the Fourth Proportional to 2,658.66, 3,985.97 and 1,618.47

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Solution

The fourth proportional to 2,658.66, 3,985.97 and 1,618.47 is: 2,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.66 : 3,985.97 = 1,618.47 : x
  2. Step 2: Convert to fraction form
    2,658.66/3,985.97 = 1,618.47/x
  3. Step 3: Cross multiply
    2,658.66x = 3,985.97 × 1,618.47
  4. Step 4: Simplify right side
    2,658.66x = 6,451,172.87
  5. Step 5: Solve for x
    x = 6,451,172.87/2,658.66
  6. Step 6: Final answer
    x = 2,426.48

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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.