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Finding the Fourth Proportional to 10,954.14, 16,428.78 and 5,411.40

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Solution

The fourth proportional to 10,954.14, 16,428.78 and 5,411.40 is: 8,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.14 : 16,428.78 = 5,411.40 : x
  2. Step 2: Convert to fraction form
    10,954.14/16,428.78 = 5,411.40/x
  3. Step 3: Cross multiply
    10,954.14x = 16,428.78 × 5,411.40
  4. Step 4: Simplify right side
    10,954.14x = 88,902,700.09
  5. Step 5: Solve for x
    x = 88,902,700.09/10,954.14
  6. Step 6: Final answer
    x = 8,115.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.