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Finding the Fourth Proportional to 8,140.77, 12,215.61 and 3,758.13

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Solution

The fourth proportional to 8,140.77, 12,215.61 and 3,758.13 is: 5,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.77 : 12,215.61 = 3,758.13 : x
  2. Step 2: Convert to fraction form
    8,140.77/12,215.61 = 3,758.13/x
  3. Step 3: Cross multiply
    8,140.77x = 12,215.61 × 3,758.13
  4. Step 4: Simplify right side
    8,140.77x = 45,907,850.41
  5. Step 5: Solve for x
    x = 45,907,850.41/8,140.77
  6. Step 6: Final answer
    x = 5,639.25

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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.