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Finding the Fourth Proportional to 12,638.74, 18,942.74 and 8,942.04

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Solution

The fourth proportional to 12,638.74, 18,942.74 and 8,942.04 is: 13,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.74 : 18,942.74 = 8,942.04 : x
  2. Step 2: Convert to fraction form
    12,638.74/18,942.74 = 8,942.04/x
  3. Step 3: Cross multiply
    12,638.74x = 18,942.74 × 8,942.04
  4. Step 4: Simplify right side
    12,638.74x = 169,386,738.79
  5. Step 5: Solve for x
    x = 169,386,738.79/12,638.74
  6. Step 6: Final answer
    x = 13,402.19

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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.