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Finding the Fourth Proportional to 21,978, 32,969.02 and 7,186.99

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Solution

The fourth proportional to 21,978, 32,969.02 and 7,186.99 is: 10,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 32,969.02 = 7,186.99 : x
  2. Step 2: Convert to fraction form
    21,978/32,969.02 = 7,186.99/x
  3. Step 3: Cross multiply
    21,978x = 32,969.02 × 7,186.99
  4. Step 4: Simplify right side
    21,978x = 236,948,017.05
  5. Step 5: Solve for x
    x = 236,948,017.05/21,978
  6. Step 6: Final answer
    x = 10,781.15

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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.