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Finding the Fourth Proportional to 21,831, 32,746.50 and 7,980

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Solution

The fourth proportional to 21,831, 32,746.50 and 7,980 is: 11,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831 : 32,746.50 = 7,980 : x
  2. Step 2: Convert to fraction form
    21,831/32,746.50 = 7,980/x
  3. Step 3: Cross multiply
    21,831x = 32,746.50 × 7,980
  4. Step 4: Simplify right side
    21,831x = 261,317,070
  5. Step 5: Solve for x
    x = 261,317,070/21,831
  6. Step 6: Final answer
    x = 11,970

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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.