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Finding the Fourth Proportional to 10,131.34, 13,976.94 and 6,351.93

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Solution

The fourth proportional to 10,131.34, 13,976.94 and 6,351.93 is: 8,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.34 : 13,976.94 = 6,351.93 : x
  2. Step 2: Convert to fraction form
    10,131.34/13,976.94 = 6,351.93/x
  3. Step 3: Cross multiply
    10,131.34x = 13,976.94 × 6,351.93
  4. Step 4: Simplify right side
    10,131.34x = 88,780,544.49
  5. Step 5: Solve for x
    x = 88,780,544.49/10,131.34
  6. Step 6: Final answer
    x = 8,762.96

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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.