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Finding the Fourth Proportional to 5,989.56, 8,984.38 and 1,830.21

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Solution

The fourth proportional to 5,989.56, 8,984.38 and 1,830.21 is: 2,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.56 : 8,984.38 = 1,830.21 : x
  2. Step 2: Convert to fraction form
    5,989.56/8,984.38 = 1,830.21/x
  3. Step 3: Cross multiply
    5,989.56x = 8,984.38 × 1,830.21
  4. Step 4: Simplify right side
    5,989.56x = 16,443,302.12
  5. Step 5: Solve for x
    x = 16,443,302.12/5,989.56
  6. Step 6: Final answer
    x = 2,745.33

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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.