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Finding the Fourth Proportional to 5,515, 7,610.76 and 3,031

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Solution

The fourth proportional to 5,515, 7,610.76 and 3,031 is: 4,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515 : 7,610.76 = 3,031 : x
  2. Step 2: Convert to fraction form
    5,515/7,610.76 = 3,031/x
  3. Step 3: Cross multiply
    5,515x = 7,610.76 × 3,031
  4. Step 4: Simplify right side
    5,515x = 23,068,213.56
  5. Step 5: Solve for x
    x = 23,068,213.56/5,515
  6. Step 6: Final answer
    x = 4,182.81

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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.