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Finding the Fourth Proportional to 8,492.36, 12,738.53 and 2,649.42

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Solution

The fourth proportional to 8,492.36, 12,738.53 and 2,649.42 is: 3,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.36 : 12,738.53 = 2,649.42 : x
  2. Step 2: Convert to fraction form
    8,492.36/12,738.53 = 2,649.42/x
  3. Step 3: Cross multiply
    8,492.36x = 12,738.53 × 2,649.42
  4. Step 4: Simplify right side
    8,492.36x = 33,749,722.78
  5. Step 5: Solve for x
    x = 33,749,722.78/8,492.36
  6. Step 6: Final answer
    x = 3,974.13

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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.