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Finding the Fourth Proportional to 2,906.56, 4,006.08 and 2,099.68

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Solution

The fourth proportional to 2,906.56, 4,006.08 and 2,099.68 is: 2,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.56 : 4,006.08 = 2,099.68 : x
  2. Step 2: Convert to fraction form
    2,906.56/4,006.08 = 2,099.68/x
  3. Step 3: Cross multiply
    2,906.56x = 4,006.08 × 2,099.68
  4. Step 4: Simplify right side
    2,906.56x = 8,411,486.05
  5. Step 5: Solve for x
    x = 8,411,486.05/2,906.56
  6. Step 6: Final answer
    x = 2,893.97

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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.