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Finding the Fourth Proportional to 13,992.42, 19,303.47 and 8,022.72

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Solution

The fourth proportional to 13,992.42, 19,303.47 and 8,022.72 is: 11,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.42 : 19,303.47 = 8,022.72 : x
  2. Step 2: Convert to fraction form
    13,992.42/19,303.47 = 8,022.72/x
  3. Step 3: Cross multiply
    13,992.42x = 19,303.47 × 8,022.72
  4. Step 4: Simplify right side
    13,992.42x = 154,866,334.84
  5. Step 5: Solve for x
    x = 154,866,334.84/13,992.42
  6. Step 6: Final answer
    x = 11,067.87

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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.