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Finding the Fourth Proportional to 13,934.71, 19,228.63 and 8,268.48

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Solution

The fourth proportional to 13,934.71, 19,228.63 and 8,268.48 is: 11,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.71 : 19,228.63 = 8,268.48 : x
  2. Step 2: Convert to fraction form
    13,934.71/19,228.63 = 8,268.48/x
  3. Step 3: Cross multiply
    13,934.71x = 19,228.63 × 8,268.48
  4. Step 4: Simplify right side
    13,934.71x = 158,991,525.79
  5. Step 5: Solve for x
    x = 158,991,525.79/13,934.71
  6. Step 6: Final answer
    x = 11,409.75

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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.