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Finding the Fourth Proportional to 4,932.88, 7,399.24 and 1,646.20

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Solution

The fourth proportional to 4,932.88, 7,399.24 and 1,646.20 is: 2,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.88 : 7,399.24 = 1,646.20 : x
  2. Step 2: Convert to fraction form
    4,932.88/7,399.24 = 1,646.20/x
  3. Step 3: Cross multiply
    4,932.88x = 7,399.24 × 1,646.20
  4. Step 4: Simplify right side
    4,932.88x = 12,180,628.89
  5. Step 5: Solve for x
    x = 12,180,628.89/4,932.88
  6. Step 6: Final answer
    x = 2,469.27

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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.