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Finding the Fourth Proportional to 30,468.32, 45,696.82 and 13,824.36

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Solution

The fourth proportional to 30,468.32, 45,696.82 and 13,824.36 is: 20,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.32 : 45,696.82 = 13,824.36 : x
  2. Step 2: Convert to fraction form
    30,468.32/45,696.82 = 13,824.36/x
  3. Step 3: Cross multiply
    30,468.32x = 45,696.82 × 13,824.36
  4. Step 4: Simplify right side
    30,468.32x = 631,729,290.54
  5. Step 5: Solve for x
    x = 631,729,290.54/30,468.32
  6. Step 6: Final answer
    x = 20,733.97

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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.