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Finding the Fourth Proportional to 13,771.49, 20,648.84 and 5,869.58

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Solution

The fourth proportional to 13,771.49, 20,648.84 and 5,869.58 is: 8,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.49 : 20,648.84 = 5,869.58 : x
  2. Step 2: Convert to fraction form
    13,771.49/20,648.84 = 5,869.58/x
  3. Step 3: Cross multiply
    13,771.49x = 20,648.84 × 5,869.58
  4. Step 4: Simplify right side
    13,771.49x = 121,200,034.86
  5. Step 5: Solve for x
    x = 121,200,034.86/13,771.49
  6. Step 6: Final answer
    x = 8,800.80

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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.