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Finding the Fourth Proportional to 13,310.32, 19,965.49 and 7,471.03

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Solution

The fourth proportional to 13,310.32, 19,965.49 and 7,471.03 is: 11,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.32 : 19,965.49 = 7,471.03 : x
  2. Step 2: Convert to fraction form
    13,310.32/19,965.49 = 7,471.03/x
  3. Step 3: Cross multiply
    13,310.32x = 19,965.49 × 7,471.03
  4. Step 4: Simplify right side
    13,310.32x = 149,162,687.49
  5. Step 5: Solve for x
    x = 149,162,687.49/13,310.32
  6. Step 6: Final answer
    x = 11,206.55

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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.