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Finding the Fourth Proportional to 21,829.80, 32,759.10 and 7,978.80

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Solution

The fourth proportional to 21,829.80, 32,759.10 and 7,978.80 is: 11,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.80 : 32,759.10 = 7,978.80 : x
  2. Step 2: Convert to fraction form
    21,829.80/32,759.10 = 7,978.80/x
  3. Step 3: Cross multiply
    21,829.80x = 32,759.10 × 7,978.80
  4. Step 4: Simplify right side
    21,829.80x = 261,378,307.08
  5. Step 5: Solve for x
    x = 261,378,307.08/21,829.80
  6. Step 6: Final answer
    x = 11,973.46

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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.