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Finding the Fourth Proportional to 11,715.13, 16,164.21 and 6,998.50

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Solution

The fourth proportional to 11,715.13, 16,164.21 and 6,998.50 is: 9,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.13 : 16,164.21 = 6,998.50 : x
  2. Step 2: Convert to fraction form
    11,715.13/16,164.21 = 6,998.50/x
  3. Step 3: Cross multiply
    11,715.13x = 16,164.21 × 6,998.50
  4. Step 4: Simplify right side
    11,715.13x = 113,125,223.69
  5. Step 5: Solve for x
    x = 113,125,223.69/11,715.13
  6. Step 6: Final answer
    x = 9,656.34

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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.