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Finding the Fourth Proportional to 10,916.80, 16,375.20 and 3,019.30

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Solution

The fourth proportional to 10,916.80, 16,375.20 and 3,019.30 is: 4,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.80 : 16,375.20 = 3,019.30 : x
  2. Step 2: Convert to fraction form
    10,916.80/16,375.20 = 3,019.30/x
  3. Step 3: Cross multiply
    10,916.80x = 16,375.20 × 3,019.30
  4. Step 4: Simplify right side
    10,916.80x = 49,441,641.36
  5. Step 5: Solve for x
    x = 49,441,641.36/10,916.80
  6. Step 6: Final answer
    x = 4,528.95

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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.