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Finding the Fourth Proportional to 4,965.78, 7,448.28 and 2,192.52

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Solution

The fourth proportional to 4,965.78, 7,448.28 and 2,192.52 is: 3,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.78 : 7,448.28 = 2,192.52 : x
  2. Step 2: Convert to fraction form
    4,965.78/7,448.28 = 2,192.52/x
  3. Step 3: Cross multiply
    4,965.78x = 7,448.28 × 2,192.52
  4. Step 4: Simplify right side
    4,965.78x = 16,330,502.87
  5. Step 5: Solve for x
    x = 16,330,502.87/4,965.78
  6. Step 6: Final answer
    x = 3,288.61

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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.