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Finding the Fourth Proportional to 5,578.58, 8,367.63 and 1,880.80

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Solution

The fourth proportional to 5,578.58, 8,367.63 and 1,880.80 is: 2,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.58 : 8,367.63 = 1,880.80 : x
  2. Step 2: Convert to fraction form
    5,578.58/8,367.63 = 1,880.80/x
  3. Step 3: Cross multiply
    5,578.58x = 8,367.63 × 1,880.80
  4. Step 4: Simplify right side
    5,578.58x = 15,737,817.58
  5. Step 5: Solve for x
    x = 15,737,817.58/5,578.58
  6. Step 6: Final answer
    x = 2,821.11

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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.