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Finding the Fourth Proportional to 7,893.31, 11,841.87 and 2,963

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Solution

The fourth proportional to 7,893.31, 11,841.87 and 2,963 is: 4,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.31 : 11,841.87 = 2,963 : x
  2. Step 2: Convert to fraction form
    7,893.31/11,841.87 = 2,963/x
  3. Step 3: Cross multiply
    7,893.31x = 11,841.87 × 2,963
  4. Step 4: Simplify right side
    7,893.31x = 35,087,460.81
  5. Step 5: Solve for x
    x = 35,087,460.81/7,893.31
  6. Step 6: Final answer
    x = 4,445.22

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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.