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Finding the Fourth Proportional to 11,892.64, 17,838.36 and 5,648.08

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Solution

The fourth proportional to 11,892.64, 17,838.36 and 5,648.08 is: 8,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.64 : 17,838.36 = 5,648.08 : x
  2. Step 2: Convert to fraction form
    11,892.64/17,838.36 = 5,648.08/x
  3. Step 3: Cross multiply
    11,892.64x = 17,838.36 × 5,648.08
  4. Step 4: Simplify right side
    11,892.64x = 100,752,484.35
  5. Step 5: Solve for x
    x = 100,752,484.35/11,892.64
  6. Step 6: Final answer
    x = 8,471.84

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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.