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Finding the Fourth Proportional to 8,257.95, 12,380.45 and 5,652.99

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Solution

The fourth proportional to 8,257.95, 12,380.45 and 5,652.99 is: 8,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.95 : 12,380.45 = 5,652.99 : x
  2. Step 2: Convert to fraction form
    8,257.95/12,380.45 = 5,652.99/x
  3. Step 3: Cross multiply
    8,257.95x = 12,380.45 × 5,652.99
  4. Step 4: Simplify right side
    8,257.95x = 69,986,531.78
  5. Step 5: Solve for x
    x = 69,986,531.78/8,257.95
  6. Step 6: Final answer
    x = 8,475.05

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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.