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Finding the Fourth Proportional to 3,502.32, 5,257.02 and 3,109.56

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Solution

The fourth proportional to 3,502.32, 5,257.02 and 3,109.56 is: 4,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.32 : 5,257.02 = 3,109.56 : x
  2. Step 2: Convert to fraction form
    3,502.32/5,257.02 = 3,109.56/x
  3. Step 3: Cross multiply
    3,502.32x = 5,257.02 × 3,109.56
  4. Step 4: Simplify right side
    3,502.32x = 16,347,019.11
  5. Step 5: Solve for x
    x = 16,347,019.11/3,502.32
  6. Step 6: Final answer
    x = 4,667.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.