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Finding the Fourth Proportional to 11,809.72, 17,719.44 and 6,543.91

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Solution

The fourth proportional to 11,809.72, 17,719.44 and 6,543.91 is: 9,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.72 : 17,719.44 = 6,543.91 : x
  2. Step 2: Convert to fraction form
    11,809.72/17,719.44 = 6,543.91/x
  3. Step 3: Cross multiply
    11,809.72x = 17,719.44 × 6,543.91
  4. Step 4: Simplify right side
    11,809.72x = 115,954,420.61
  5. Step 5: Solve for x
    x = 115,954,420.61/11,809.72
  6. Step 6: Final answer
    x = 9,818.56

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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.