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Finding the Fourth Proportional to 10,469.72, 15,704.58 and 9,861.14

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Solution

The fourth proportional to 10,469.72, 15,704.58 and 9,861.14 is: 14,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.72 : 15,704.58 = 9,861.14 : x
  2. Step 2: Convert to fraction form
    10,469.72/15,704.58 = 9,861.14/x
  3. Step 3: Cross multiply
    10,469.72x = 15,704.58 × 9,861.14
  4. Step 4: Simplify right side
    10,469.72x = 154,865,062.02
  5. Step 5: Solve for x
    x = 154,865,062.02/10,469.72
  6. Step 6: Final answer
    x = 14,791.71

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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.