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Finding the Fourth Proportional to 2,384.16, 3,289.92 and 1,336

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Solution

The fourth proportional to 2,384.16, 3,289.92 and 1,336 is: 1,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.16 : 3,289.92 = 1,336 : x
  2. Step 2: Convert to fraction form
    2,384.16/3,289.92 = 1,336/x
  3. Step 3: Cross multiply
    2,384.16x = 3,289.92 × 1,336
  4. Step 4: Simplify right side
    2,384.16x = 4,395,333.12
  5. Step 5: Solve for x
    x = 4,395,333.12/2,384.16
  6. Step 6: Final answer
    x = 1,843.56

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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.