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Finding the Fourth Proportional to 21,986.15, 32,978.12 and 7,193.12

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Solution

The fourth proportional to 21,986.15, 32,978.12 and 7,193.12 is: 10,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.15 : 32,978.12 = 7,193.12 : x
  2. Step 2: Convert to fraction form
    21,986.15/32,978.12 = 7,193.12/x
  3. Step 3: Cross multiply
    21,986.15x = 32,978.12 × 7,193.12
  4. Step 4: Simplify right side
    21,986.15x = 237,215,373.68
  5. Step 5: Solve for x
    x = 237,215,373.68/21,986.15
  6. Step 6: Final answer
    x = 10,789.31

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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.