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Finding the Fourth Proportional to 3,112.76, 4,294.22 and 1,786.20

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Solution

The fourth proportional to 3,112.76, 4,294.22 and 1,786.20 is: 2,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.76 : 4,294.22 = 1,786.20 : x
  2. Step 2: Convert to fraction form
    3,112.76/4,294.22 = 1,786.20/x
  3. Step 3: Cross multiply
    3,112.76x = 4,294.22 × 1,786.20
  4. Step 4: Simplify right side
    3,112.76x = 7,670,335.76
  5. Step 5: Solve for x
    x = 7,670,335.76/3,112.76
  6. Step 6: Final answer
    x = 2,464.16

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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.