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Finding the Fourth Proportional to 11,280.96, 16,920.45 and 3,489

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Solution

The fourth proportional to 11,280.96, 16,920.45 and 3,489 is: 5,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.96 : 16,920.45 = 3,489 : x
  2. Step 2: Convert to fraction form
    11,280.96/16,920.45 = 3,489/x
  3. Step 3: Cross multiply
    11,280.96x = 16,920.45 × 3,489
  4. Step 4: Simplify right side
    11,280.96x = 59,035,450.05
  5. Step 5: Solve for x
    x = 59,035,450.05/11,280.96
  6. Step 6: Final answer
    x = 5,233.19

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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.