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Finding the Fourth Proportional to 21,978.41, 32,923.67 and 13,208.54

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Solution

The fourth proportional to 21,978.41, 32,923.67 and 13,208.54 is: 19,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.41 : 32,923.67 = 13,208.54 : x
  2. Step 2: Convert to fraction form
    21,978.41/32,923.67 = 13,208.54/x
  3. Step 3: Cross multiply
    21,978.41x = 32,923.67 × 13,208.54
  4. Step 4: Simplify right side
    21,978.41x = 434,873,381.48
  5. Step 5: Solve for x
    x = 434,873,381.48/21,978.41
  6. Step 6: Final answer
    x = 19,786.39

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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.