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Finding the Fourth Proportional to 4,065, 5,605.38 and 3,645.96

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Solution

The fourth proportional to 4,065, 5,605.38 and 3,645.96 is: 5,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 5,605.38 = 3,645.96 : x
  2. Step 2: Convert to fraction form
    4,065/5,605.38 = 3,645.96/x
  3. Step 3: Cross multiply
    4,065x = 5,605.38 × 3,645.96
  4. Step 4: Simplify right side
    4,065x = 20,436,991.26
  5. Step 5: Solve for x
    x = 20,436,991.26/4,065
  6. Step 6: Final answer
    x = 5,027.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.