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Finding the Fourth Proportional to 5,990.90, 8,986.01 and 1,830.53

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Solution

The fourth proportional to 5,990.90, 8,986.01 and 1,830.53 is: 2,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.90 : 8,986.01 = 1,830.53 : x
  2. Step 2: Convert to fraction form
    5,990.90/8,986.01 = 1,830.53/x
  3. Step 3: Cross multiply
    5,990.90x = 8,986.01 × 1,830.53
  4. Step 4: Simplify right side
    5,990.90x = 16,449,106.80
  5. Step 5: Solve for x
    x = 16,449,106.80/5,990.90
  6. Step 6: Final answer
    x = 2,745.68

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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.