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Finding the Fourth Proportional to 18,277.96, 27,411.36 and 7,747.78

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Solution

The fourth proportional to 18,277.96, 27,411.36 and 7,747.78 is: 11,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.96 : 27,411.36 = 7,747.78 : x
  2. Step 2: Convert to fraction form
    18,277.96/27,411.36 = 7,747.78/x
  3. Step 3: Cross multiply
    18,277.96x = 27,411.36 × 7,747.78
  4. Step 4: Simplify right side
    18,277.96x = 212,377,191.99
  5. Step 5: Solve for x
    x = 212,377,191.99/18,277.96
  6. Step 6: Final answer
    x = 11,619.31

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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.