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Finding the Fourth Proportional to 21,988.22, 32,986.36 and 7,197.96

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Solution

The fourth proportional to 21,988.22, 32,986.36 and 7,197.96 is: 10,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.22 : 32,986.36 = 7,197.96 : x
  2. Step 2: Convert to fraction form
    21,988.22/32,986.36 = 7,197.96/x
  3. Step 3: Cross multiply
    21,988.22x = 32,986.36 × 7,197.96
  4. Step 4: Simplify right side
    21,988.22x = 237,434,499.83
  5. Step 5: Solve for x
    x = 237,434,499.83/21,988.22
  6. Step 6: Final answer
    x = 10,798.26

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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.