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Finding the Fourth Proportional to 6,589, 9,883.50 and 1,972

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Solution

The fourth proportional to 6,589, 9,883.50 and 1,972 is: 2,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589 : 9,883.50 = 1,972 : x
  2. Step 2: Convert to fraction form
    6,589/9,883.50 = 1,972/x
  3. Step 3: Cross multiply
    6,589x = 9,883.50 × 1,972
  4. Step 4: Simplify right side
    6,589x = 19,490,262
  5. Step 5: Solve for x
    x = 19,490,262/6,589
  6. Step 6: Final answer
    x = 2,958

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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.