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Finding the Fourth Proportional to 11,375.36, 15,713.31 and 10,314.31

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Solution

The fourth proportional to 11,375.36, 15,713.31 and 10,314.31 is: 14,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.36 : 15,713.31 = 10,314.31 : x
  2. Step 2: Convert to fraction form
    11,375.36/15,713.31 = 10,314.31/x
  3. Step 3: Cross multiply
    11,375.36x = 15,713.31 × 10,314.31
  4. Step 4: Simplify right side
    11,375.36x = 162,071,950.47
  5. Step 5: Solve for x
    x = 162,071,950.47/11,375.36
  6. Step 6: Final answer
    x = 14,247.63

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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.