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Finding the Fourth Proportional to 8,650.56, 12,981.09 and 3,456

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Solution

The fourth proportional to 8,650.56, 12,981.09 and 3,456 is: 5,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.56 : 12,981.09 = 3,456 : x
  2. Step 2: Convert to fraction form
    8,650.56/12,981.09 = 3,456/x
  3. Step 3: Cross multiply
    8,650.56x = 12,981.09 × 3,456
  4. Step 4: Simplify right side
    8,650.56x = 44,862,647.04
  5. Step 5: Solve for x
    x = 44,862,647.04/8,650.56
  6. Step 6: Final answer
    x = 5,186.10

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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.