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Finding the Fourth Proportional to 8,113.50, 11,197.02 and 4,576.63

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Solution

The fourth proportional to 8,113.50, 11,197.02 and 4,576.63 is: 6,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 11,197.02 = 4,576.63 : x
  2. Step 2: Convert to fraction form
    8,113.50/11,197.02 = 4,576.63/x
  3. Step 3: Cross multiply
    8,113.50x = 11,197.02 × 4,576.63
  4. Step 4: Simplify right side
    8,113.50x = 51,244,617.64
  5. Step 5: Solve for x
    x = 51,244,617.64/8,113.50
  6. Step 6: Final answer
    x = 6,315.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.