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Finding the Fourth Proportional to 12,283.89, 16,951.17 and 6,978

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Solution

The fourth proportional to 12,283.89, 16,951.17 and 6,978 is: 9,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.89 : 16,951.17 = 6,978 : x
  2. Step 2: Convert to fraction form
    12,283.89/16,951.17 = 6,978/x
  3. Step 3: Cross multiply
    12,283.89x = 16,951.17 × 6,978
  4. Step 4: Simplify right side
    12,283.89x = 118,285,264.26
  5. Step 5: Solve for x
    x = 118,285,264.26/12,283.89
  6. Step 6: Final answer
    x = 9,629.30

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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.