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Finding the Fourth Proportional to 22,673.14, 31,289.64 and 13,722.28

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Solution

The fourth proportional to 22,673.14, 31,289.64 and 13,722.28 is: 18,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.14 : 31,289.64 = 13,722.28 : x
  2. Step 2: Convert to fraction form
    22,673.14/31,289.64 = 13,722.28/x
  3. Step 3: Cross multiply
    22,673.14x = 31,289.64 × 13,722.28
  4. Step 4: Simplify right side
    22,673.14x = 429,365,201.18
  5. Step 5: Solve for x
    x = 429,365,201.18/22,673.14
  6. Step 6: Final answer
    x = 18,937.17

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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.