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Finding the Fourth Proportional to 11,650.56, 17,478.40 and 8,563.20

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Solution

The fourth proportional to 11,650.56, 17,478.40 and 8,563.20 is: 12,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.56 : 17,478.40 = 8,563.20 : x
  2. Step 2: Convert to fraction form
    11,650.56/17,478.40 = 8,563.20/x
  3. Step 3: Cross multiply
    11,650.56x = 17,478.40 × 8,563.20
  4. Step 4: Simplify right side
    11,650.56x = 149,671,034.88
  5. Step 5: Solve for x
    x = 149,671,034.88/11,650.56
  6. Step 6: Final answer
    x = 12,846.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.