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Finding the Fourth Proportional to 22,978.75, 31,723.29 and 13,905.80

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Solution

The fourth proportional to 22,978.75, 31,723.29 and 13,905.80 is: 19,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.75 : 31,723.29 = 13,905.80 : x
  2. Step 2: Convert to fraction form
    22,978.75/31,723.29 = 13,905.80/x
  3. Step 3: Cross multiply
    22,978.75x = 31,723.29 × 13,905.80
  4. Step 4: Simplify right side
    22,978.75x = 441,137,726.08
  5. Step 5: Solve for x
    x = 441,137,726.08/22,978.75
  6. Step 6: Final answer
    x = 19,197.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.