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Finding the Fourth Proportional to 3,670.88, 5,065.80 and 2,099

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Solution

The fourth proportional to 3,670.88, 5,065.80 and 2,099 is: 2,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.88 : 5,065.80 = 2,099 : x
  2. Step 2: Convert to fraction form
    3,670.88/5,065.80 = 2,099/x
  3. Step 3: Cross multiply
    3,670.88x = 5,065.80 × 2,099
  4. Step 4: Simplify right side
    3,670.88x = 10,633,114.20
  5. Step 5: Solve for x
    x = 10,633,114.20/3,670.88
  6. Step 6: Final answer
    x = 2,896.61

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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.