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Finding the Fourth Proportional to 21,982.03, 32,978.22 and 7,190.89

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Solution

The fourth proportional to 21,982.03, 32,978.22 and 7,190.89 is: 10,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.03 : 32,978.22 = 7,190.89 : x
  2. Step 2: Convert to fraction form
    21,982.03/32,978.22 = 7,190.89/x
  3. Step 3: Cross multiply
    21,982.03x = 32,978.22 × 7,190.89
  4. Step 4: Simplify right side
    21,982.03x = 237,142,752.42
  5. Step 5: Solve for x
    x = 237,142,752.42/21,982.03
  6. Step 6: Final answer
    x = 10,788.03

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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.