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Finding the Fourth Proportional to 2,099, 2,896.62 and 1,167.72

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Solution

The fourth proportional to 2,099, 2,896.62 and 1,167.72 is: 1,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 2,896.62 = 1,167.72 : x
  2. Step 2: Convert to fraction form
    2,099/2,896.62 = 1,167.72/x
  3. Step 3: Cross multiply
    2,099x = 2,896.62 × 1,167.72
  4. Step 4: Simplify right side
    2,099x = 3,382,441.11
  5. Step 5: Solve for x
    x = 3,382,441.11/2,099
  6. Step 6: Final answer
    x = 1,611.45

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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.