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Finding the Fourth Proportional to 3,902.58, 5,838.32 and 3,388.64

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Solution

The fourth proportional to 3,902.58, 5,838.32 and 3,388.64 is: 5,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,838.32 = 3,388.64 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,838.32 = 3,388.64/x
  3. Step 3: Cross multiply
    3,902.58x = 5,838.32 × 3,388.64
  4. Step 4: Simplify right side
    3,902.58x = 19,783,941.58
  5. Step 5: Solve for x
    x = 19,783,941.58/3,902.58
  6. Step 6: Final answer
    x = 5,069.45

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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.