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Finding the Fourth Proportional to 6,615.50, 9,129.84 and 3,821

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Solution

The fourth proportional to 6,615.50, 9,129.84 and 3,821 is: 5,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.50 : 9,129.84 = 3,821 : x
  2. Step 2: Convert to fraction form
    6,615.50/9,129.84 = 3,821/x
  3. Step 3: Cross multiply
    6,615.50x = 9,129.84 × 3,821
  4. Step 4: Simplify right side
    6,615.50x = 34,885,118.64
  5. Step 5: Solve for x
    x = 34,885,118.64/6,615.50
  6. Step 6: Final answer
    x = 5,273.24

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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.