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Finding the Fourth Proportional to 6,538.92, 9,809.93 and 5,209.76

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Solution

The fourth proportional to 6,538.92, 9,809.93 and 5,209.76 is: 7,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.92 : 9,809.93 = 5,209.76 : x
  2. Step 2: Convert to fraction form
    6,538.92/9,809.93 = 5,209.76/x
  3. Step 3: Cross multiply
    6,538.92x = 9,809.93 × 5,209.76
  4. Step 4: Simplify right side
    6,538.92x = 51,107,379.39
  5. Step 5: Solve for x
    x = 51,107,379.39/6,538.92
  6. Step 6: Final answer
    x = 7,815.87

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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.