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Finding the Fourth Proportional to 4,500.87, 6,751.29 and 1,214.30

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Solution

The fourth proportional to 4,500.87, 6,751.29 and 1,214.30 is: 1,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.87 : 6,751.29 = 1,214.30 : x
  2. Step 2: Convert to fraction form
    4,500.87/6,751.29 = 1,214.30/x
  3. Step 3: Cross multiply
    4,500.87x = 6,751.29 × 1,214.30
  4. Step 4: Simplify right side
    4,500.87x = 8,198,057.69
  5. Step 5: Solve for x
    x = 8,198,057.69/4,500.87
  6. Step 6: Final answer
    x = 1,821.44

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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.