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Finding the Fourth Proportional to 6,805.84, 10,209.41 and 2,646.18

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Solution

The fourth proportional to 6,805.84, 10,209.41 and 2,646.18 is: 3,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.84 : 10,209.41 = 2,646.18 : x
  2. Step 2: Convert to fraction form
    6,805.84/10,209.41 = 2,646.18/x
  3. Step 3: Cross multiply
    6,805.84x = 10,209.41 × 2,646.18
  4. Step 4: Simplify right side
    6,805.84x = 27,015,936.55
  5. Step 5: Solve for x
    x = 27,015,936.55/6,805.84
  6. Step 6: Final answer
    x = 3,969.52

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Double scale
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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.