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Finding the Fourth Proportional to 6,161.72, 8,503.48 and 3,645.30

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Solution

The fourth proportional to 6,161.72, 8,503.48 and 3,645.30 is: 5,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.72 : 8,503.48 = 3,645.30 : x
  2. Step 2: Convert to fraction form
    6,161.72/8,503.48 = 3,645.30/x
  3. Step 3: Cross multiply
    6,161.72x = 8,503.48 × 3,645.30
  4. Step 4: Simplify right side
    6,161.72x = 30,997,772.09
  5. Step 5: Solve for x
    x = 30,997,772.09/6,161.72
  6. Step 6: Final answer
    x = 5,030.70

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