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Finding the Fourth Proportional to 6,120, 9,181.22 and 2,610

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Solution

The fourth proportional to 6,120, 9,181.22 and 2,610 is: 3,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 9,181.22 = 2,610 : x
  2. Step 2: Convert to fraction form
    6,120/9,181.22 = 2,610/x
  3. Step 3: Cross multiply
    6,120x = 9,181.22 × 2,610
  4. Step 4: Simplify right side
    6,120x = 23,962,971.15
  5. Step 5: Solve for x
    x = 23,962,971.15/6,120
  6. Step 6: Final answer
    x = 3,915.52

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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.