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Finding the Fourth Proportional to 1,286.11, 1,775.16 and 821.17

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Solution

The fourth proportional to 1,286.11, 1,775.16 and 821.17 is: 1,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.11 : 1,775.16 = 821.17 : x
  2. Step 2: Convert to fraction form
    1,286.11/1,775.16 = 821.17/x
  3. Step 3: Cross multiply
    1,286.11x = 1,775.16 × 821.17
  4. Step 4: Simplify right side
    1,286.11x = 1,457,708.14
  5. Step 5: Solve for x
    x = 1,457,708.14/1,286.11
  6. Step 6: Final answer
    x = 1,133.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.