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Finding the Fourth Proportional to 18,294.54, 27,441.16 and 7,757.78

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Solution

The fourth proportional to 18,294.54, 27,441.16 and 7,757.78 is: 11,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.54 : 27,441.16 = 7,757.78 : x
  2. Step 2: Convert to fraction form
    18,294.54/27,441.16 = 7,757.78/x
  3. Step 3: Cross multiply
    18,294.54x = 27,441.16 × 7,757.78
  4. Step 4: Simplify right side
    18,294.54x = 212,882,482.22
  5. Step 5: Solve for x
    x = 212,882,482.22/18,294.54
  6. Step 6: Final answer
    x = 11,636.39

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1.5x scale

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.