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Finding the Fourth Proportional to 7,808.65, 10,780.39 and 5,163.73

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Solution

The fourth proportional to 7,808.65, 10,780.39 and 5,163.73 is: 7,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.65 : 10,780.39 = 5,163.73 : x
  2. Step 2: Convert to fraction form
    7,808.65/10,780.39 = 5,163.73/x
  3. Step 3: Cross multiply
    7,808.65x = 10,780.39 × 5,163.73
  4. Step 4: Simplify right side
    7,808.65x = 55,667,023.25
  5. Step 5: Solve for x
    x = 55,667,023.25/7,808.65
  6. Step 6: Final answer
    x = 7,128.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.