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Finding the Fourth Proportional to 13,180.57, 19,765.65 and 5,684.71

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Solution

The fourth proportional to 13,180.57, 19,765.65 and 5,684.71 is: 8,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.57 : 19,765.65 = 5,684.71 : x
  2. Step 2: Convert to fraction form
    13,180.57/19,765.65 = 5,684.71/x
  3. Step 3: Cross multiply
    13,180.57x = 19,765.65 × 5,684.71
  4. Step 4: Simplify right side
    13,180.57x = 112,361,893.62
  5. Step 5: Solve for x
    x = 112,361,893.62/13,180.57
  6. Step 6: Final answer
    x = 8,524.81

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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.