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Finding the Fourth Proportional to 3,326.47, 4,989.62 and 861.26

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Solution

The fourth proportional to 3,326.47, 4,989.62 and 861.26 is: 1,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.47 : 4,989.62 = 861.26 : x
  2. Step 2: Convert to fraction form
    3,326.47/4,989.62 = 861.26/x
  3. Step 3: Cross multiply
    3,326.47x = 4,989.62 × 861.26
  4. Step 4: Simplify right side
    3,326.47x = 4,297,337.33
  5. Step 5: Solve for x
    x = 4,297,337.33/3,326.47
  6. Step 6: Final answer
    x = 1,291.86

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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.