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Finding the Fourth Proportional to 3,326.34, 4,989.42 and 861.15

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Solution

The fourth proportional to 3,326.34, 4,989.42 and 861.15 is: 1,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.34 : 4,989.42 = 861.15 : x
  2. Step 2: Convert to fraction form
    3,326.34/4,989.42 = 861.15/x
  3. Step 3: Cross multiply
    3,326.34x = 4,989.42 × 861.15
  4. Step 4: Simplify right side
    3,326.34x = 4,296,639.03
  5. Step 5: Solve for x
    x = 4,296,639.03/3,326.34
  6. Step 6: Final answer
    x = 1,291.70

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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.