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Finding the Fourth Proportional to 3,388.48, 5,088 and 3,223.84

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Solution

The fourth proportional to 3,388.48, 5,088 and 3,223.84 is: 4,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.48 : 5,088 = 3,223.84 : x
  2. Step 2: Convert to fraction form
    3,388.48/5,088 = 3,223.84/x
  3. Step 3: Cross multiply
    3,388.48x = 5,088 × 3,223.84
  4. Step 4: Simplify right side
    3,388.48x = 16,402,897.92
  5. Step 5: Solve for x
    x = 16,402,897.92/3,388.48
  6. Step 6: Final answer
    x = 4,840.78

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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.