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Finding the Fourth Proportional to 13,512, 20,258.97 and 5,612.46

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Solution

The fourth proportional to 13,512, 20,258.97 and 5,612.46 is: 8,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512 : 20,258.97 = 5,612.46 : x
  2. Step 2: Convert to fraction form
    13,512/20,258.97 = 5,612.46/x
  3. Step 3: Cross multiply
    13,512x = 20,258.97 × 5,612.46
  4. Step 4: Simplify right side
    13,512x = 113,702,658.77
  5. Step 5: Solve for x
    x = 113,702,658.77/13,512
  6. Step 6: Final answer
    x = 8,414.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.