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Finding the Fourth Proportional to 13,840.88, 20,769.62 and 5,076.68

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Solution

The fourth proportional to 13,840.88, 20,769.62 and 5,076.68 is: 7,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.88 : 20,769.62 = 5,076.68 : x
  2. Step 2: Convert to fraction form
    13,840.88/20,769.62 = 5,076.68/x
  3. Step 3: Cross multiply
    13,840.88x = 20,769.62 × 5,076.68
  4. Step 4: Simplify right side
    13,840.88x = 105,440,585.23
  5. Step 5: Solve for x
    x = 105,440,585.23/13,840.88
  6. Step 6: Final answer
    x = 7,618.06

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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.