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Finding the Fourth Proportional to 8,540.42, 11,784.60 and 5,004.74

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Solution

The fourth proportional to 8,540.42, 11,784.60 and 5,004.74 is: 6,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.42 : 11,784.60 = 5,004.74 : x
  2. Step 2: Convert to fraction form
    8,540.42/11,784.60 = 5,004.74/x
  3. Step 3: Cross multiply
    8,540.42x = 11,784.60 × 5,004.74
  4. Step 4: Simplify right side
    8,540.42x = 58,978,859.00
  5. Step 5: Solve for x
    x = 58,978,859.00/8,540.42
  6. Step 6: Final answer
    x = 6,905.85

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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.