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Finding the Fourth Proportional to 13,864.40, 20,804.83 and 5,105.46

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Solution

The fourth proportional to 13,864.40, 20,804.83 and 5,105.46 is: 7,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.40 : 20,804.83 = 5,105.46 : x
  2. Step 2: Convert to fraction form
    13,864.40/20,804.83 = 5,105.46/x
  3. Step 3: Cross multiply
    13,864.40x = 20,804.83 × 5,105.46
  4. Step 4: Simplify right side
    13,864.40x = 106,218,214.61
  5. Step 5: Solve for x
    x = 106,218,214.61/13,864.40
  6. Step 6: Final answer
    x = 7,661.22

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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.