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Finding the Fourth Proportional to 8,140.53, 12,212.63 and 2,594.19

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Solution

The fourth proportional to 8,140.53, 12,212.63 and 2,594.19 is: 3,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.53 : 12,212.63 = 2,594.19 : x
  2. Step 2: Convert to fraction form
    8,140.53/12,212.63 = 2,594.19/x
  3. Step 3: Cross multiply
    8,140.53x = 12,212.63 × 2,594.19
  4. Step 4: Simplify right side
    8,140.53x = 31,681,869.65
  5. Step 5: Solve for x
    x = 31,681,869.65/8,140.53
  6. Step 6: Final answer
    x = 3,891.87

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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.