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Finding the Fourth Proportional to 21,830, 32,745 and 7,979

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Solution

The fourth proportional to 21,830, 32,745 and 7,979 is: 11,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 32,745 = 7,979 : x
  2. Step 2: Convert to fraction form
    21,830/32,745 = 7,979/x
  3. Step 3: Cross multiply
    21,830x = 32,745 × 7,979
  4. Step 4: Simplify right side
    21,830x = 261,272,355
  5. Step 5: Solve for x
    x = 261,272,355/21,830
  6. Step 6: Final answer
    x = 11,968.50

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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.