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Finding the Fourth Proportional to 6,554, 9,831 and 1,690

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Solution

The fourth proportional to 6,554, 9,831 and 1,690 is: 2,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554 : 9,831 = 1,690 : x
  2. Step 2: Convert to fraction form
    6,554/9,831 = 1,690/x
  3. Step 3: Cross multiply
    6,554x = 9,831 × 1,690
  4. Step 4: Simplify right side
    6,554x = 16,614,390
  5. Step 5: Solve for x
    x = 16,614,390/6,554
  6. Step 6: Final answer
    x = 2,535

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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.