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Finding the Fourth Proportional to 13,530.38, 18,672.26 and 7,563.04

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Solution

The fourth proportional to 13,530.38, 18,672.26 and 7,563.04 is: 10,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.38 : 18,672.26 = 7,563.04 : x
  2. Step 2: Convert to fraction form
    13,530.38/18,672.26 = 7,563.04/x
  3. Step 3: Cross multiply
    13,530.38x = 18,672.26 × 7,563.04
  4. Step 4: Simplify right side
    13,530.38x = 141,218,964.77
  5. Step 5: Solve for x
    x = 141,218,964.77/13,530.38
  6. Step 6: Final answer
    x = 10,437.18

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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.