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Finding the Fourth Proportional to 9,640.80, 14,461.20 and 9,222.60

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Solution

The fourth proportional to 9,640.80, 14,461.20 and 9,222.60 is: 13,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,461.20 = 9,222.60 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,461.20 = 9,222.60/x
  3. Step 3: Cross multiply
    9,640.80x = 14,461.20 × 9,222.60
  4. Step 4: Simplify right side
    9,640.80x = 133,369,863.12
  5. Step 5: Solve for x
    x = 133,369,863.12/9,640.80
  6. Step 6: Final answer
    x = 13,833.90

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Similar ratio
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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.