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Finding the Fourth Proportional to 10,791.60, 16,189.71 and 6,113.82

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Solution

The fourth proportional to 10,791.60, 16,189.71 and 6,113.82 is: 9,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.60 : 16,189.71 = 6,113.82 : x
  2. Step 2: Convert to fraction form
    10,791.60/16,189.71 = 6,113.82/x
  3. Step 3: Cross multiply
    10,791.60x = 16,189.71 × 6,113.82
  4. Step 4: Simplify right side
    10,791.60x = 98,980,972.79
  5. Step 5: Solve for x
    x = 98,980,972.79/10,791.60
  6. Step 6: Final answer
    x = 9,172.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.