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Finding the Fourth Proportional to 11,894.83, 17,818 and 5,635.87

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Solution

The fourth proportional to 11,894.83, 17,818 and 5,635.87 is: 8,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.83 : 17,818 = 5,635.87 : x
  2. Step 2: Convert to fraction form
    11,894.83/17,818 = 5,635.87/x
  3. Step 3: Cross multiply
    11,894.83x = 17,818 × 5,635.87
  4. Step 4: Simplify right side
    11,894.83x = 100,419,931.66
  5. Step 5: Solve for x
    x = 100,419,931.66/11,894.83
  6. Step 6: Final answer
    x = 8,442.32

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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.