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Finding the Fourth Proportional to 5,578.87, 8,369.09 and 1,630.42

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Solution

The fourth proportional to 5,578.87, 8,369.09 and 1,630.42 is: 2,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.87 : 8,369.09 = 1,630.42 : x
  2. Step 2: Convert to fraction form
    5,578.87/8,369.09 = 1,630.42/x
  3. Step 3: Cross multiply
    5,578.87x = 8,369.09 × 1,630.42
  4. Step 4: Simplify right side
    5,578.87x = 13,645,081.72
  5. Step 5: Solve for x
    x = 13,645,081.72/5,578.87
  6. Step 6: Final answer
    x = 2,445.85

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1.5x scale

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.