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Finding the Fourth Proportional to 7,704.45, 11,564.91 and 6,785.91

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Solution

The fourth proportional to 7,704.45, 11,564.91 and 6,785.91 is: 10,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.45 : 11,564.91 = 6,785.91 : x
  2. Step 2: Convert to fraction form
    7,704.45/11,564.91 = 6,785.91/x
  3. Step 3: Cross multiply
    7,704.45x = 11,564.91 × 6,785.91
  4. Step 4: Simplify right side
    7,704.45x = 78,478,438.42
  5. Step 5: Solve for x
    x = 78,478,438.42/7,704.45
  6. Step 6: Final answer
    x = 10,186.12

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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.