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Finding the Fourth Proportional to 6,520.76, 9,776.28 and 3,923.09

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Solution

The fourth proportional to 6,520.76, 9,776.28 and 3,923.09 is: 5,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.76 : 9,776.28 = 3,923.09 : x
  2. Step 2: Convert to fraction form
    6,520.76/9,776.28 = 3,923.09/x
  3. Step 3: Cross multiply
    6,520.76x = 9,776.28 × 3,923.09
  4. Step 4: Simplify right side
    6,520.76x = 38,353,226.31
  5. Step 5: Solve for x
    x = 38,353,226.31/6,520.76
  6. Step 6: Final answer
    x = 5,881.71

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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.