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Finding the Fourth Proportional to 2,999.69, 4,500.21 and 1,151.67

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Solution

The fourth proportional to 2,999.69, 4,500.21 and 1,151.67 is: 1,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.69 : 4,500.21 = 1,151.67 : x
  2. Step 2: Convert to fraction form
    2,999.69/4,500.21 = 1,151.67/x
  3. Step 3: Cross multiply
    2,999.69x = 4,500.21 × 1,151.67
  4. Step 4: Simplify right side
    2,999.69x = 5,182,756.85
  5. Step 5: Solve for x
    x = 5,182,756.85/2,999.69
  6. Step 6: Final answer
    x = 1,727.76

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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.