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Finding the Fourth Proportional to 5,990.78, 8,986.16 and 1,830.80

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Solution

The fourth proportional to 5,990.78, 8,986.16 and 1,830.80 is: 2,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.78 : 8,986.16 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    5,990.78/8,986.16 = 1,830.80/x
  3. Step 3: Cross multiply
    5,990.78x = 8,986.16 × 1,830.80
  4. Step 4: Simplify right side
    5,990.78x = 16,451,861.73
  5. Step 5: Solve for x
    x = 16,451,861.73/5,990.78
  6. Step 6: Final answer
    x = 2,746.20

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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.