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Finding the Fourth Proportional to 5,209.76, 7,815.41 and 1,922.57

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Solution

The fourth proportional to 5,209.76, 7,815.41 and 1,922.57 is: 2,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.76 : 7,815.41 = 1,922.57 : x
  2. Step 2: Convert to fraction form
    5,209.76/7,815.41 = 1,922.57/x
  3. Step 3: Cross multiply
    5,209.76x = 7,815.41 × 1,922.57
  4. Step 4: Simplify right side
    5,209.76x = 15,025,624.11
  5. Step 5: Solve for x
    x = 15,025,624.11/5,209.76
  6. Step 6: Final answer
    x = 2,884.13

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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.