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Finding the Fourth Proportional to 3,027.47, 4,541.46 and 836.20

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Solution

The fourth proportional to 3,027.47, 4,541.46 and 836.20 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.47 : 4,541.46 = 836.20 : x
  2. Step 2: Convert to fraction form
    3,027.47/4,541.46 = 836.20/x
  3. Step 3: Cross multiply
    3,027.47x = 4,541.46 × 836.20
  4. Step 4: Simplify right side
    3,027.47x = 3,797,546.14
  5. Step 5: Solve for x
    x = 3,797,546.14/3,027.47
  6. Step 6: Final answer
    x = 1,254.37

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Similar ratio
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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.