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Finding the Fourth Proportional to 13,573.82, 20,368.74 and 7,574.92

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Solution

The fourth proportional to 13,573.82, 20,368.74 and 7,574.92 is: 11,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.82 : 20,368.74 = 7,574.92 : x
  2. Step 2: Convert to fraction form
    13,573.82/20,368.74 = 7,574.92/x
  3. Step 3: Cross multiply
    13,573.82x = 20,368.74 × 7,574.92
  4. Step 4: Simplify right side
    13,573.82x = 154,291,576.00
  5. Step 5: Solve for x
    x = 154,291,576.00/13,573.82
  6. Step 6: Final answer
    x = 11,366.85

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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.