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Finding the Fourth Proportional to 3,272.50, 4,516.05 and 1,800.50

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Solution

The fourth proportional to 3,272.50, 4,516.05 and 1,800.50 is: 2,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.50 : 4,516.05 = 1,800.50 : x
  2. Step 2: Convert to fraction form
    3,272.50/4,516.05 = 1,800.50/x
  3. Step 3: Cross multiply
    3,272.50x = 4,516.05 × 1,800.50
  4. Step 4: Simplify right side
    3,272.50x = 8,131,148.03
  5. Step 5: Solve for x
    x = 8,131,148.03/3,272.50
  6. Step 6: Final answer
    x = 2,484.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.