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Finding the Fourth Proportional to 13,874.16, 20,806.92 and 4,638

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Solution

The fourth proportional to 13,874.16, 20,806.92 and 4,638 is: 6,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.16 : 20,806.92 = 4,638 : x
  2. Step 2: Convert to fraction form
    13,874.16/20,806.92 = 4,638/x
  3. Step 3: Cross multiply
    13,874.16x = 20,806.92 × 4,638
  4. Step 4: Simplify right side
    13,874.16x = 96,502,494.96
  5. Step 5: Solve for x
    x = 96,502,494.96/13,874.16
  6. Step 6: Final answer
    x = 6,955.56

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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.