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Finding the Fourth Proportional to 12,376, 17,078.88 and 6,787

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Solution

The fourth proportional to 12,376, 17,078.88 and 6,787 is: 9,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376 : 17,078.88 = 6,787 : x
  2. Step 2: Convert to fraction form
    12,376/17,078.88 = 6,787/x
  3. Step 3: Cross multiply
    12,376x = 17,078.88 × 6,787
  4. Step 4: Simplify right side
    12,376x = 115,914,358.56
  5. Step 5: Solve for x
    x = 115,914,358.56/12,376
  6. Step 6: Final answer
    x = 9,366.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.