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Finding the Fourth Proportional to 11,591.47, 15,996.81 and 7,340.95

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Solution

The fourth proportional to 11,591.47, 15,996.81 and 7,340.95 is: 10,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.47 : 15,996.81 = 7,340.95 : x
  2. Step 2: Convert to fraction form
    11,591.47/15,996.81 = 7,340.95/x
  3. Step 3: Cross multiply
    11,591.47x = 15,996.81 × 7,340.95
  4. Step 4: Simplify right side
    11,591.47x = 117,431,782.37
  5. Step 5: Solve for x
    x = 117,431,782.37/11,591.47
  6. Step 6: Final answer
    x = 10,130.88

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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.