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Finding the Fourth Proportional to 10,717, 14,789.46 and 6,991

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Solution

The fourth proportional to 10,717, 14,789.46 and 6,991 is: 9,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717 : 14,789.46 = 6,991 : x
  2. Step 2: Convert to fraction form
    10,717/14,789.46 = 6,991/x
  3. Step 3: Cross multiply
    10,717x = 14,789.46 × 6,991
  4. Step 4: Simplify right side
    10,717x = 103,393,114.86
  5. Step 5: Solve for x
    x = 103,393,114.86/10,717
  6. Step 6: Final answer
    x = 9,647.58

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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.