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Finding the Fourth Proportional to 3,601, 5,401.50 and 865

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Solution

The fourth proportional to 3,601, 5,401.50 and 865 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601 : 5,401.50 = 865 : x
  2. Step 2: Convert to fraction form
    3,601/5,401.50 = 865/x
  3. Step 3: Cross multiply
    3,601x = 5,401.50 × 865
  4. Step 4: Simplify right side
    3,601x = 4,672,297.50
  5. Step 5: Solve for x
    x = 4,672,297.50/3,601
  6. Step 6: Final answer
    x = 1,297.50

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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.