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Finding the Fourth Proportional to 22,802.64, 31,467.60 and 13,371.12

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Solution

The fourth proportional to 22,802.64, 31,467.60 and 13,371.12 is: 18,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.64 : 31,467.60 = 13,371.12 : x
  2. Step 2: Convert to fraction form
    22,802.64/31,467.60 = 13,371.12/x
  3. Step 3: Cross multiply
    22,802.64x = 31,467.60 × 13,371.12
  4. Step 4: Simplify right side
    22,802.64x = 420,757,055.71
  5. Step 5: Solve for x
    x = 420,757,055.71/22,802.64
  6. Step 6: Final answer
    x = 18,452.12

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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.