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Finding the Fourth Proportional to 13,984.39, 19,288.63 and 9,202.81

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Solution

The fourth proportional to 13,984.39, 19,288.63 and 9,202.81 is: 12,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.39 : 19,288.63 = 9,202.81 : x
  2. Step 2: Convert to fraction form
    13,984.39/19,288.63 = 9,202.81/x
  3. Step 3: Cross multiply
    13,984.39x = 19,288.63 × 9,202.81
  4. Step 4: Simplify right side
    13,984.39x = 177,509,542.25
  5. Step 5: Solve for x
    x = 177,509,542.25/13,984.39
  6. Step 6: Final answer
    x = 12,693.41

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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.