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Finding the Fourth Proportional to 12,638.71, 18,942.69 and 8,942.01

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Solution

The fourth proportional to 12,638.71, 18,942.69 and 8,942.01 is: 13,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.71 : 18,942.69 = 8,942.01 : x
  2. Step 2: Convert to fraction form
    12,638.71/18,942.69 = 8,942.01/x
  3. Step 3: Cross multiply
    12,638.71x = 18,942.69 × 8,942.01
  4. Step 4: Simplify right side
    12,638.71x = 169,385,723.41
  5. Step 5: Solve for x
    x = 169,385,723.41/12,638.71
  6. Step 6: Final answer
    x = 13,402.14

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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.