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Finding the Fourth Proportional to 13,582.59, 18,743.94 and 8,277.43

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Solution

The fourth proportional to 13,582.59, 18,743.94 and 8,277.43 is: 11,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.59 : 18,743.94 = 8,277.43 : x
  2. Step 2: Convert to fraction form
    13,582.59/18,743.94 = 8,277.43/x
  3. Step 3: Cross multiply
    13,582.59x = 18,743.94 × 8,277.43
  4. Step 4: Simplify right side
    13,582.59x = 155,151,651.27
  5. Step 5: Solve for x
    x = 155,151,651.27/13,582.59
  6. Step 6: Final answer
    x = 11,422.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.