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Finding the Fourth Proportional to 6,600, 9,900 and 1,983

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Solution

The fourth proportional to 6,600, 9,900 and 1,983 is: 2,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600 : 9,900 = 1,983 : x
  2. Step 2: Convert to fraction form
    6,600/9,900 = 1,983/x
  3. Step 3: Cross multiply
    6,600x = 9,900 × 1,983
  4. Step 4: Simplify right side
    6,600x = 19,631,700
  5. Step 5: Solve for x
    x = 19,631,700/6,600
  6. Step 6: Final answer
    x = 2,974.50

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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.