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Finding the Fourth Proportional to 22,242, 30,693.96 and 13,858.50

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Solution

The fourth proportional to 22,242, 30,693.96 and 13,858.50 is: 19,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242 : 30,693.96 = 13,858.50 : x
  2. Step 2: Convert to fraction form
    22,242/30,693.96 = 13,858.50/x
  3. Step 3: Cross multiply
    22,242x = 30,693.96 × 13,858.50
  4. Step 4: Simplify right side
    22,242x = 425,372,244.66
  5. Step 5: Solve for x
    x = 425,372,244.66/22,242
  6. Step 6: Final answer
    x = 19,124.73

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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.