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Finding the Fourth Proportional to 5,112.44, 7,055 and 2,874.26

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Solution

The fourth proportional to 5,112.44, 7,055 and 2,874.26 is: 3,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.44 : 7,055 = 2,874.26 : x
  2. Step 2: Convert to fraction form
    5,112.44/7,055 = 2,874.26/x
  3. Step 3: Cross multiply
    5,112.44x = 7,055 × 2,874.26
  4. Step 4: Simplify right side
    5,112.44x = 20,277,904.30
  5. Step 5: Solve for x
    x = 20,277,904.30/5,112.44
  6. Step 6: Final answer
    x = 3,966.38

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Half scale
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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.