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Finding the Fourth Proportional to 9,666.70, 14,469.27 and 7,696.78

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Solution

The fourth proportional to 9,666.70, 14,469.27 and 7,696.78 is: 11,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.70 : 14,469.27 = 7,696.78 : x
  2. Step 2: Convert to fraction form
    9,666.70/14,469.27 = 7,696.78/x
  3. Step 3: Cross multiply
    9,666.70x = 14,469.27 × 7,696.78
  4. Step 4: Simplify right side
    9,666.70x = 111,366,787.95
  5. Step 5: Solve for x
    x = 111,366,787.95/9,666.70
  6. Step 6: Final answer
    x = 11,520.66

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1.5x scale

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.