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Finding the Fourth Proportional to 18,464.71, 27,694.63 and 5,138.59

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Solution

The fourth proportional to 18,464.71, 27,694.63 and 5,138.59 is: 7,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464.71 : 27,694.63 = 5,138.59 : x
  2. Step 2: Convert to fraction form
    18,464.71/27,694.63 = 5,138.59/x
  3. Step 3: Cross multiply
    18,464.71x = 27,694.63 × 5,138.59
  4. Step 4: Simplify right side
    18,464.71x = 142,311,184.61
  5. Step 5: Solve for x
    x = 142,311,184.61/18,464.71
  6. Step 6: Final answer
    x = 7,707.20

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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.