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Finding the Fourth Proportional to 11,722.29, 16,177.86 and 7,006.47

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Solution

The fourth proportional to 11,722.29, 16,177.86 and 7,006.47 is: 9,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.29 : 16,177.86 = 7,006.47 : x
  2. Step 2: Convert to fraction form
    11,722.29/16,177.86 = 7,006.47/x
  3. Step 3: Cross multiply
    11,722.29x = 16,177.86 × 7,006.47
  4. Step 4: Simplify right side
    11,722.29x = 113,349,690.75
  5. Step 5: Solve for x
    x = 113,349,690.75/11,722.29
  6. Step 6: Final answer
    x = 9,669.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.