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Finding the Fourth Proportional to 8,544.78, 12,816.11 and 2,305.30

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Solution

The fourth proportional to 8,544.78, 12,816.11 and 2,305.30 is: 3,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.78 : 12,816.11 = 2,305.30 : x
  2. Step 2: Convert to fraction form
    8,544.78/12,816.11 = 2,305.30/x
  3. Step 3: Cross multiply
    8,544.78x = 12,816.11 × 2,305.30
  4. Step 4: Simplify right side
    8,544.78x = 29,544,978.38
  5. Step 5: Solve for x
    x = 29,544,978.38/8,544.78
  6. Step 6: Final answer
    x = 3,457.66

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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.