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Finding the Fourth Proportional to 8,038.50, 12,056.94 and 3,654.78

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Solution

The fourth proportional to 8,038.50, 12,056.94 and 3,654.78 is: 5,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 12,056.94 = 3,654.78 : x
  2. Step 2: Convert to fraction form
    8,038.50/12,056.94 = 3,654.78/x
  3. Step 3: Cross multiply
    8,038.50x = 12,056.94 × 3,654.78
  4. Step 4: Simplify right side
    8,038.50x = 44,065,463.17
  5. Step 5: Solve for x
    x = 44,065,463.17/8,038.50
  6. Step 6: Final answer
    x = 5,481.80

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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.