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Finding the Fourth Proportional to 11,859, 16,365.15 and 6,553.86

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Solution

The fourth proportional to 11,859, 16,365.15 and 6,553.86 is: 9,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859 : 16,365.15 = 6,553.86 : x
  2. Step 2: Convert to fraction form
    11,859/16,365.15 = 6,553.86/x
  3. Step 3: Cross multiply
    11,859x = 16,365.15 × 6,553.86
  4. Step 4: Simplify right side
    11,859x = 107,254,901.98
  5. Step 5: Solve for x
    x = 107,254,901.98/11,859
  6. Step 6: Final answer
    x = 9,044.18

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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.