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Finding the Fourth Proportional to 22,853.76, 31,538.43 and 13,422.48

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Solution

The fourth proportional to 22,853.76, 31,538.43 and 13,422.48 is: 18,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.76 : 31,538.43 = 13,422.48 : x
  2. Step 2: Convert to fraction form
    22,853.76/31,538.43 = 13,422.48/x
  3. Step 3: Cross multiply
    22,853.76x = 31,538.43 × 13,422.48
  4. Step 4: Simplify right side
    22,853.76x = 423,323,945.91
  5. Step 5: Solve for x
    x = 423,323,945.91/22,853.76
  6. Step 6: Final answer
    x = 18,523.16

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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.