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Finding the Fourth Proportional to 11,876.34, 16,402.32 and 7,914.27

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Solution

The fourth proportional to 11,876.34, 16,402.32 and 7,914.27 is: 10,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.34 : 16,402.32 = 7,914.27 : x
  2. Step 2: Convert to fraction form
    11,876.34/16,402.32 = 7,914.27/x
  3. Step 3: Cross multiply
    11,876.34x = 16,402.32 × 7,914.27
  4. Step 4: Simplify right side
    11,876.34x = 129,812,389.11
  5. Step 5: Solve for x
    x = 129,812,389.11/11,876.34
  6. Step 6: Final answer
    x = 10,930.34

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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.