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Finding the Fourth Proportional to 12,170.72, 18,256.10 and 2,936.72

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Solution

The fourth proportional to 12,170.72, 18,256.10 and 2,936.72 is: 4,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.72 : 18,256.10 = 2,936.72 : x
  2. Step 2: Convert to fraction form
    12,170.72/18,256.10 = 2,936.72/x
  3. Step 3: Cross multiply
    12,170.72x = 18,256.10 × 2,936.72
  4. Step 4: Simplify right side
    12,170.72x = 53,612,948.03
  5. Step 5: Solve for x
    x = 53,612,948.03/12,170.72
  6. Step 6: Final answer
    x = 4,405.08

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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.