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Finding the Fourth Proportional to 10,142.46, 13,994.21 and 6,163.34

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Solution

The fourth proportional to 10,142.46, 13,994.21 and 6,163.34 is: 8,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.46 : 13,994.21 = 6,163.34 : x
  2. Step 2: Convert to fraction form
    10,142.46/13,994.21 = 6,163.34/x
  3. Step 3: Cross multiply
    10,142.46x = 13,994.21 × 6,163.34
  4. Step 4: Simplify right side
    10,142.46x = 86,250,973.47
  5. Step 5: Solve for x
    x = 86,250,973.47/10,142.46
  6. Step 6: Final answer
    x = 8,503.95

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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.