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Finding the Fourth Proportional to 23,073.76, 31,842.30 and 13,642.48

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Solution

The fourth proportional to 23,073.76, 31,842.30 and 13,642.48 is: 18,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.76 : 31,842.30 = 13,642.48 : x
  2. Step 2: Convert to fraction form
    23,073.76/31,842.30 = 13,642.48/x
  3. Step 3: Cross multiply
    23,073.76x = 31,842.30 × 13,642.48
  4. Step 4: Simplify right side
    23,073.76x = 434,407,940.90
  5. Step 5: Solve for x
    x = 434,407,940.90/23,073.76
  6. Step 6: Final answer
    x = 18,826.92

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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.