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Finding the Fourth Proportional to 18,580.80, 27,872.32 and 7,486.08

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Solution

The fourth proportional to 18,580.80, 27,872.32 and 7,486.08 is: 11,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.80 : 27,872.32 = 7,486.08 : x
  2. Step 2: Convert to fraction form
    18,580.80/27,872.32 = 7,486.08/x
  3. Step 3: Cross multiply
    18,580.80x = 27,872.32 × 7,486.08
  4. Step 4: Simplify right side
    18,580.80x = 208,654,417.31
  5. Step 5: Solve for x
    x = 208,654,417.31/18,580.80
  6. Step 6: Final answer
    x = 11,229.57

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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.