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Finding the Fourth Proportional to 22,454.46, 30,987.86 and 13,842.54

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Solution

The fourth proportional to 22,454.46, 30,987.86 and 13,842.54 is: 19,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.46 : 30,987.86 = 13,842.54 : x
  2. Step 2: Convert to fraction form
    22,454.46/30,987.86 = 13,842.54/x
  3. Step 3: Cross multiply
    22,454.46x = 30,987.86 × 13,842.54
  4. Step 4: Simplify right side
    22,454.46x = 428,950,622.35
  5. Step 5: Solve for x
    x = 428,950,622.35/22,454.46
  6. Step 6: Final answer
    x = 19,103.14

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