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Finding the Fourth Proportional to 3,892.16, 5,826.96 and 3,027.20

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Solution

The fourth proportional to 3,892.16, 5,826.96 and 3,027.20 is: 4,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.16 : 5,826.96 = 3,027.20 : x
  2. Step 2: Convert to fraction form
    3,892.16/5,826.96 = 3,027.20/x
  3. Step 3: Cross multiply
    3,892.16x = 5,826.96 × 3,027.20
  4. Step 4: Simplify right side
    3,892.16x = 17,639,373.31
  5. Step 5: Solve for x
    x = 17,639,373.31/3,892.16
  6. Step 6: Final answer
    x = 4,532.03

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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.