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Finding the Fourth Proportional to 3,388, 5,084.16 and 1,336

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Solution

The fourth proportional to 3,388, 5,084.16 and 1,336 is: 2,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388 : 5,084.16 = 1,336 : x
  2. Step 2: Convert to fraction form
    3,388/5,084.16 = 1,336/x
  3. Step 3: Cross multiply
    3,388x = 5,084.16 × 1,336
  4. Step 4: Simplify right side
    3,388x = 6,792,437.76
  5. Step 5: Solve for x
    x = 6,792,437.76/3,388
  6. Step 6: Final answer
    x = 2,004.85

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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.