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Finding the Fourth Proportional to 18,278.15, 27,411.64 and 7,747.97

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Solution

The fourth proportional to 18,278.15, 27,411.64 and 7,747.97 is: 11,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.15 : 27,411.64 = 7,747.97 : x
  2. Step 2: Convert to fraction form
    18,278.15/27,411.64 = 7,747.97/x
  3. Step 3: Cross multiply
    18,278.15x = 27,411.64 × 7,747.97
  4. Step 4: Simplify right side
    18,278.15x = 212,384,510.74
  5. Step 5: Solve for x
    x = 212,384,510.74/18,278.15
  6. Step 6: Final answer
    x = 11,619.59

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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.