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Finding the Fourth Proportional to 23,978.56, 33,088 and 13,367.20

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Solution

The fourth proportional to 23,978.56, 33,088 and 13,367.20 is: 18,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.56 : 33,088 = 13,367.20 : x
  2. Step 2: Convert to fraction form
    23,978.56/33,088 = 13,367.20/x
  3. Step 3: Cross multiply
    23,978.56x = 33,088 × 13,367.20
  4. Step 4: Simplify right side
    23,978.56x = 442,293,913.60
  5. Step 5: Solve for x
    x = 442,293,913.60/23,978.56
  6. Step 6: Final answer
    x = 18,445.39

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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.