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Finding the Fourth Proportional to 8,578.02, 12,860.70 and 5,797.80

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Solution

The fourth proportional to 8,578.02, 12,860.70 and 5,797.80 is: 8,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.02 : 12,860.70 = 5,797.80 : x
  2. Step 2: Convert to fraction form
    8,578.02/12,860.70 = 5,797.80/x
  3. Step 3: Cross multiply
    8,578.02x = 12,860.70 × 5,797.80
  4. Step 4: Simplify right side
    8,578.02x = 74,563,766.46
  5. Step 5: Solve for x
    x = 74,563,766.46/8,578.02
  6. Step 6: Final answer
    x = 8,692.42

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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.