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Finding the Fourth Proportional to 9,766.60, 14,640.30 and 8,729.80

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Solution

The fourth proportional to 9,766.60, 14,640.30 and 8,729.80 is: 13,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.60 : 14,640.30 = 8,729.80 : x
  2. Step 2: Convert to fraction form
    9,766.60/14,640.30 = 8,729.80/x
  3. Step 3: Cross multiply
    9,766.60x = 14,640.30 × 8,729.80
  4. Step 4: Simplify right side
    9,766.60x = 127,806,890.94
  5. Step 5: Solve for x
    x = 127,806,890.94/9,766.60
  6. Step 6: Final answer
    x = 13,086.12

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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.