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Finding the Fourth Proportional to 5,500.56, 8,250 and 1,990.32

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Solution

The fourth proportional to 5,500.56, 8,250 and 1,990.32 is: 2,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.56 : 8,250 = 1,990.32 : x
  2. Step 2: Convert to fraction form
    5,500.56/8,250 = 1,990.32/x
  3. Step 3: Cross multiply
    5,500.56x = 8,250 × 1,990.32
  4. Step 4: Simplify right side
    5,500.56x = 16,420,140
  5. Step 5: Solve for x
    x = 16,420,140/5,500.56
  6. Step 6: Final answer
    x = 2,985.18

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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.