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Finding the Fourth Proportional to 6,805.68, 10,205.91 and 2,645.15

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Solution

The fourth proportional to 6,805.68, 10,205.91 and 2,645.15 is: 3,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.68 : 10,205.91 = 2,645.15 : x
  2. Step 2: Convert to fraction form
    6,805.68/10,205.91 = 2,645.15/x
  3. Step 3: Cross multiply
    6,805.68x = 10,205.91 × 2,645.15
  4. Step 4: Simplify right side
    6,805.68x = 26,996,111.81
  5. Step 5: Solve for x
    x = 26,996,111.81/6,805.68
  6. Step 6: Final answer
    x = 3,966.70

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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.