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Finding the Fourth Proportional to 8,463.78, 12,696.50 and 2,916.39

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Solution

The fourth proportional to 8,463.78, 12,696.50 and 2,916.39 is: 4,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.78 : 12,696.50 = 2,916.39 : x
  2. Step 2: Convert to fraction form
    8,463.78/12,696.50 = 2,916.39/x
  3. Step 3: Cross multiply
    8,463.78x = 12,696.50 × 2,916.39
  4. Step 4: Simplify right side
    8,463.78x = 37,027,945.64
  5. Step 5: Solve for x
    x = 37,027,945.64/8,463.78
  6. Step 6: Final answer
    x = 4,374.87

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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.