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Finding the Fourth Proportional to 3,605.50, 5,408.26 and 869.50

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Solution

The fourth proportional to 3,605.50, 5,408.26 and 869.50 is: 1,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.50 : 5,408.26 = 869.50 : x
  2. Step 2: Convert to fraction form
    3,605.50/5,408.26 = 869.50/x
  3. Step 3: Cross multiply
    3,605.50x = 5,408.26 × 869.50
  4. Step 4: Simplify right side
    3,605.50x = 4,702,477.72
  5. Step 5: Solve for x
    x = 4,702,477.72/3,605.50
  6. Step 6: Final answer
    x = 1,304.25

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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.