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Finding the Fourth Proportional to 13,947.22, 20,923.13 and 6,927.47

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Solution

The fourth proportional to 13,947.22, 20,923.13 and 6,927.47 is: 10,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.22 : 20,923.13 = 6,927.47 : x
  2. Step 2: Convert to fraction form
    13,947.22/20,923.13 = 6,927.47/x
  3. Step 3: Cross multiply
    13,947.22x = 20,923.13 × 6,927.47
  4. Step 4: Simplify right side
    13,947.22x = 144,944,268.08
  5. Step 5: Solve for x
    x = 144,944,268.08/13,947.22
  6. Step 6: Final answer
    x = 10,392.34

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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.