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Finding the Fourth Proportional to 11,983, 17,978.04 and 6,143.72

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Solution

The fourth proportional to 11,983, 17,978.04 and 6,143.72 is: 9,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983 : 17,978.04 = 6,143.72 : x
  2. Step 2: Convert to fraction form
    11,983/17,978.04 = 6,143.72/x
  3. Step 3: Cross multiply
    11,983x = 17,978.04 × 6,143.72
  4. Step 4: Simplify right side
    11,983x = 110,452,043.91
  5. Step 5: Solve for x
    x = 110,452,043.91/11,983
  6. Step 6: Final answer
    x = 9,217.39

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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.