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Finding the Fourth Proportional to 10,902.92, 16,354.60 and 3,111.92

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Solution

The fourth proportional to 10,902.92, 16,354.60 and 3,111.92 is: 4,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.92 : 16,354.60 = 3,111.92 : x
  2. Step 2: Convert to fraction form
    10,902.92/16,354.60 = 3,111.92/x
  3. Step 3: Cross multiply
    10,902.92x = 16,354.60 × 3,111.92
  4. Step 4: Simplify right side
    10,902.92x = 50,894,206.83
  5. Step 5: Solve for x
    x = 50,894,206.83/10,902.92
  6. Step 6: Final answer
    x = 4,667.94

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