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Finding the Fourth Proportional to 11,182.70, 15,422.90 and 7,591.76

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Solution

The fourth proportional to 11,182.70, 15,422.90 and 7,591.76 is: 10,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.70 : 15,422.90 = 7,591.76 : x
  2. Step 2: Convert to fraction form
    11,182.70/15,422.90 = 7,591.76/x
  3. Step 3: Cross multiply
    11,182.70x = 15,422.90 × 7,591.76
  4. Step 4: Simplify right side
    11,182.70x = 117,086,955.30
  5. Step 5: Solve for x
    x = 117,086,955.30/11,182.70
  6. Step 6: Final answer
    x = 10,470.37

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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.