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Finding the Fourth Proportional to 9,766.70, 14,669.90 and 8,622.66

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Solution

The fourth proportional to 9,766.70, 14,669.90 and 8,622.66 is: 12,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.70 : 14,669.90 = 8,622.66 : x
  2. Step 2: Convert to fraction form
    9,766.70/14,669.90 = 8,622.66/x
  3. Step 3: Cross multiply
    9,766.70x = 14,669.90 × 8,622.66
  4. Step 4: Simplify right side
    9,766.70x = 126,493,559.93
  5. Step 5: Solve for x
    x = 126,493,559.93/9,766.70
  6. Step 6: Final answer
    x = 12,951.51

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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.