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Finding the Fourth Proportional to 13,727.51, 20,573.26 and 7,807.12

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Solution

The fourth proportional to 13,727.51, 20,573.26 and 7,807.12 is: 11,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.51 : 20,573.26 = 7,807.12 : x
  2. Step 2: Convert to fraction form
    13,727.51/20,573.26 = 7,807.12/x
  3. Step 3: Cross multiply
    13,727.51x = 20,573.26 × 7,807.12
  4. Step 4: Simplify right side
    13,727.51x = 160,617,811.73
  5. Step 5: Solve for x
    x = 160,617,811.73/13,727.51
  6. Step 6: Final answer
    x = 11,700.44

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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.