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Finding the Fourth Proportional to 8,371.72, 12,559.50 and 2,824.90

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Solution

The fourth proportional to 8,371.72, 12,559.50 and 2,824.90 is: 4,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.72 : 12,559.50 = 2,824.90 : x
  2. Step 2: Convert to fraction form
    8,371.72/12,559.50 = 2,824.90/x
  3. Step 3: Cross multiply
    8,371.72x = 12,559.50 × 2,824.90
  4. Step 4: Simplify right side
    8,371.72x = 35,479,331.55
  5. Step 5: Solve for x
    x = 35,479,331.55/8,371.72
  6. Step 6: Final answer
    x = 4,238.00

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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.