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Finding the Fourth Proportional to 1,286.02, 1,775.55 and 936.10

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Solution

The fourth proportional to 1,286.02, 1,775.55 and 936.10 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.02 : 1,775.55 = 936.10 : x
  2. Step 2: Convert to fraction form
    1,286.02/1,775.55 = 936.10/x
  3. Step 3: Cross multiply
    1,286.02x = 1,775.55 × 936.10
  4. Step 4: Simplify right side
    1,286.02x = 1,662,092.36
  5. Step 5: Solve for x
    x = 1,662,092.36/1,286.02
  6. Step 6: Final answer
    x = 1,292.43

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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.