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Finding the Fourth Proportional to 5,578.79, 8,362.92 and 1,878.43

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Solution

The fourth proportional to 5,578.79, 8,362.92 and 1,878.43 is: 2,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.79 : 8,362.92 = 1,878.43 : x
  2. Step 2: Convert to fraction form
    5,578.79/8,362.92 = 1,878.43/x
  3. Step 3: Cross multiply
    5,578.79x = 8,362.92 × 1,878.43
  4. Step 4: Simplify right side
    5,578.79x = 15,709,131.86
  5. Step 5: Solve for x
    x = 15,709,131.86/5,578.79
  6. Step 6: Final answer
    x = 2,815.87

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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.