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Finding the Fourth Proportional to 3,602.56, 5,400 and 2,212.16

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Solution

The fourth proportional to 3,602.56, 5,400 and 2,212.16 is: 3,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.56 : 5,400 = 2,212.16 : x
  2. Step 2: Convert to fraction form
    3,602.56/5,400 = 2,212.16/x
  3. Step 3: Cross multiply
    3,602.56x = 5,400 × 2,212.16
  4. Step 4: Simplify right side
    3,602.56x = 11,945,664
  5. Step 5: Solve for x
    x = 11,945,664/3,602.56
  6. Step 6: Final answer
    x = 3,315.88

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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.