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Finding the Fourth Proportional to 6,538, 9,808.20 and 2,645.14

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Solution

The fourth proportional to 6,538, 9,808.20 and 2,645.14 is: 3,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,808.20 = 2,645.14 : x
  2. Step 2: Convert to fraction form
    6,538/9,808.20 = 2,645.14/x
  3. Step 3: Cross multiply
    6,538x = 9,808.20 × 2,645.14
  4. Step 4: Simplify right side
    6,538x = 25,944,062.15
  5. Step 5: Solve for x
    x = 25,944,062.15/6,538
  6. Step 6: Final answer
    x = 3,968.20

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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.