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Finding the Fourth Proportional to 9,141.68, 13,709.68 and 3,297.53

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Solution

The fourth proportional to 9,141.68, 13,709.68 and 3,297.53 is: 4,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.68 : 13,709.68 = 3,297.53 : x
  2. Step 2: Convert to fraction form
    9,141.68/13,709.68 = 3,297.53/x
  3. Step 3: Cross multiply
    9,141.68x = 13,709.68 × 3,297.53
  4. Step 4: Simplify right side
    9,141.68x = 45,208,081.09
  5. Step 5: Solve for x
    x = 45,208,081.09/9,141.68
  6. Step 6: Final answer
    x = 4,945.27

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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.