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Finding the Fourth Proportional to 3,388.86, 4,669.20 and 3,204.72

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Solution

The fourth proportional to 3,388.86, 4,669.20 and 3,204.72 is: 4,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.86 : 4,669.20 = 3,204.72 : x
  2. Step 2: Convert to fraction form
    3,388.86/4,669.20 = 3,204.72/x
  3. Step 3: Cross multiply
    3,388.86x = 4,669.20 × 3,204.72
  4. Step 4: Simplify right side
    3,388.86x = 14,963,478.62
  5. Step 5: Solve for x
    x = 14,963,478.62/3,388.86
  6. Step 6: Final answer
    x = 4,415.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.