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Finding the Fourth Proportional to 11,722.67, 16,177.31 and 6,417.48

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Solution

The fourth proportional to 11,722.67, 16,177.31 and 6,417.48 is: 8,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.67 : 16,177.31 = 6,417.48 : x
  2. Step 2: Convert to fraction form
    11,722.67/16,177.31 = 6,417.48/x
  3. Step 3: Cross multiply
    11,722.67x = 16,177.31 × 6,417.48
  4. Step 4: Simplify right side
    11,722.67x = 103,817,531.29
  5. Step 5: Solve for x
    x = 103,817,531.29/11,722.67
  6. Step 6: Final answer
    x = 8,856.14

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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.