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Finding the Fourth Proportional to 3,690.36, 5,535.72 and 3,537.72

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Solution

The fourth proportional to 3,690.36, 5,535.72 and 3,537.72 is: 5,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.36 : 5,535.72 = 3,537.72 : x
  2. Step 2: Convert to fraction form
    3,690.36/5,535.72 = 3,537.72/x
  3. Step 3: Cross multiply
    3,690.36x = 5,535.72 × 3,537.72
  4. Step 4: Simplify right side
    3,690.36x = 19,583,827.36
  5. Step 5: Solve for x
    x = 19,583,827.36/3,690.36
  6. Step 6: Final answer
    x = 5,306.75

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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.