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Finding the Fourth Proportional to 1,917.96, 2,876.88 and 1,606.92

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Solution

The fourth proportional to 1,917.96, 2,876.88 and 1,606.92 is: 2,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.96 : 2,876.88 = 1,606.92 : x
  2. Step 2: Convert to fraction form
    1,917.96/2,876.88 = 1,606.92/x
  3. Step 3: Cross multiply
    1,917.96x = 2,876.88 × 1,606.92
  4. Step 4: Simplify right side
    1,917.96x = 4,622,916.01
  5. Step 5: Solve for x
    x = 4,622,916.01/1,917.96
  6. Step 6: Final answer
    x = 2,410.33

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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.