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Finding the Fourth Proportional to 13,422.71, 18,523.33 and 7,833.71

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Solution

The fourth proportional to 13,422.71, 18,523.33 and 7,833.71 is: 10,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.71 : 18,523.33 = 7,833.71 : x
  2. Step 2: Convert to fraction form
    13,422.71/18,523.33 = 7,833.71/x
  3. Step 3: Cross multiply
    13,422.71x = 18,523.33 × 7,833.71
  4. Step 4: Simplify right side
    13,422.71x = 145,106,283.25
  5. Step 5: Solve for x
    x = 145,106,283.25/13,422.71
  6. Step 6: Final answer
    x = 10,810.51

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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.