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Finding the Fourth Proportional to 9,165.10, 13,766.06 and 8,906.70

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Solution

The fourth proportional to 9,165.10, 13,766.06 and 8,906.70 is: 13,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.10 : 13,766.06 = 8,906.70 : x
  2. Step 2: Convert to fraction form
    9,165.10/13,766.06 = 8,906.70/x
  3. Step 3: Cross multiply
    9,165.10x = 13,766.06 × 8,906.70
  4. Step 4: Simplify right side
    9,165.10x = 122,610,166.60
  5. Step 5: Solve for x
    x = 122,610,166.60/9,165.10
  6. Step 6: Final answer
    x = 13,377.94

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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.