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Finding the Fourth Proportional to 11,678.34, 16,116.05 and 6,373.11

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Solution

The fourth proportional to 11,678.34, 16,116.05 and 6,373.11 is: 8,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.34 : 16,116.05 = 6,373.11 : x
  2. Step 2: Convert to fraction form
    11,678.34/16,116.05 = 6,373.11/x
  3. Step 3: Cross multiply
    11,678.34x = 16,116.05 × 6,373.11
  4. Step 4: Simplify right side
    11,678.34x = 102,709,327.55
  5. Step 5: Solve for x
    x = 102,709,327.55/11,678.34
  6. Step 6: Final answer
    x = 8,794.86

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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.