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Finding the Fourth Proportional to 8,766, 12,097.56 and 4,787.47

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Solution

The fourth proportional to 8,766, 12,097.56 and 4,787.47 is: 6,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766 : 12,097.56 = 4,787.47 : x
  2. Step 2: Convert to fraction form
    8,766/12,097.56 = 4,787.47/x
  3. Step 3: Cross multiply
    8,766x = 12,097.56 × 4,787.47
  4. Step 4: Simplify right side
    8,766x = 57,916,705.57
  5. Step 5: Solve for x
    x = 57,916,705.57/8,766
  6. Step 6: Final answer
    x = 6,606.97

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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.