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Finding the Fourth Proportional to 22,885.38, 31,512.66 and 18,416.34

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Solution

The fourth proportional to 22,885.38, 31,512.66 and 18,416.34 is: 25,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.38 : 31,512.66 = 18,416.34 : x
  2. Step 2: Convert to fraction form
    22,885.38/31,512.66 = 18,416.34/x
  3. Step 3: Cross multiply
    22,885.38x = 31,512.66 × 18,416.34
  4. Step 4: Simplify right side
    22,885.38x = 580,347,860.86
  5. Step 5: Solve for x
    x = 580,347,860.86/22,885.38
  6. Step 6: Final answer
    x = 25,358.89

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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.