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Finding the Fourth Proportional to 8,787.96, 13,178.78 and 4,107.09

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Solution

The fourth proportional to 8,787.96, 13,178.78 and 4,107.09 is: 6,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,787.96 : 13,178.78 = 4,107.09 : x
  2. Step 2: Convert to fraction form
    8,787.96/13,178.78 = 4,107.09/x
  3. Step 3: Cross multiply
    8,787.96x = 13,178.78 × 4,107.09
  4. Step 4: Simplify right side
    8,787.96x = 54,126,415.01
  5. Step 5: Solve for x
    x = 54,126,415.01/8,787.96
  6. Step 6: Final answer
    x = 6,159.16

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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.