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Finding the Fourth Proportional to 13,574.28, 20,357.67 and 3,713.94

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Solution

The fourth proportional to 13,574.28, 20,357.67 and 3,713.94 is: 5,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.28 : 20,357.67 = 3,713.94 : x
  2. Step 2: Convert to fraction form
    13,574.28/20,357.67 = 3,713.94/x
  3. Step 3: Cross multiply
    13,574.28x = 20,357.67 × 3,713.94
  4. Step 4: Simplify right side
    13,574.28x = 75,607,164.92
  5. Step 5: Solve for x
    x = 75,607,164.92/13,574.28
  6. Step 6: Final answer
    x = 5,569.88

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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.