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Finding the Fourth Proportional to 3,000.25, 4,500.87 and 920.05

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Solution

The fourth proportional to 3,000.25, 4,500.87 and 920.05 is: 1,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.25 : 4,500.87 = 920.05 : x
  2. Step 2: Convert to fraction form
    3,000.25/4,500.87 = 920.05/x
  3. Step 3: Cross multiply
    3,000.25x = 4,500.87 × 920.05
  4. Step 4: Simplify right side
    3,000.25x = 4,141,023.27
  5. Step 5: Solve for x
    x = 4,141,023.27/3,000.25
  6. Step 6: Final answer
    x = 1,380.22

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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.