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Finding the Fourth Proportional to 8,783.92, 13,176.75 and 3,787.96

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Solution

The fourth proportional to 8,783.92, 13,176.75 and 3,787.96 is: 5,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.92 : 13,176.75 = 3,787.96 : x
  2. Step 2: Convert to fraction form
    8,783.92/13,176.75 = 3,787.96/x
  3. Step 3: Cross multiply
    8,783.92x = 13,176.75 × 3,787.96
  4. Step 4: Simplify right side
    8,783.92x = 49,913,001.93
  5. Step 5: Solve for x
    x = 49,913,001.93/8,783.92
  6. Step 6: Final answer
    x = 5,682.32

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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.