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Finding the Fourth Proportional to 12,366, 18,551.88 and 4,158

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Solution

The fourth proportional to 12,366, 18,551.88 and 4,158 is: 6,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 18,551.88 = 4,158 : x
  2. Step 2: Convert to fraction form
    12,366/18,551.88 = 4,158/x
  3. Step 3: Cross multiply
    12,366x = 18,551.88 × 4,158
  4. Step 4: Simplify right side
    12,366x = 77,138,717.04
  5. Step 5: Solve for x
    x = 77,138,717.04/12,366
  6. Step 6: Final answer
    x = 6,237.97

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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.