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Finding the Fourth Proportional to 6,805.65, 10,205.84 and 2,645.11

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Solution

The fourth proportional to 6,805.65, 10,205.84 and 2,645.11 is: 3,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.65 : 10,205.84 = 2,645.11 : x
  2. Step 2: Convert to fraction form
    6,805.65/10,205.84 = 2,645.11/x
  3. Step 3: Cross multiply
    6,805.65x = 10,205.84 × 2,645.11
  4. Step 4: Simplify right side
    6,805.65x = 26,995,556.22
  5. Step 5: Solve for x
    x = 26,995,556.22/6,805.65
  6. Step 6: Final answer
    x = 3,966.64

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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.