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Finding the Fourth Proportional to 1,876.96, 2,817.68 and 1,108

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Solution

The fourth proportional to 1,876.96, 2,817.68 and 1,108 is: 1,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.96 : 2,817.68 = 1,108 : x
  2. Step 2: Convert to fraction form
    1,876.96/2,817.68 = 1,108/x
  3. Step 3: Cross multiply
    1,876.96x = 2,817.68 × 1,108
  4. Step 4: Simplify right side
    1,876.96x = 3,121,989.44
  5. Step 5: Solve for x
    x = 3,121,989.44/1,876.96
  6. Step 6: Final answer
    x = 1,663.32

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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.