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Finding the Fourth Proportional to 13,052.14, 18,012.84 and 7,386.90

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Solution

The fourth proportional to 13,052.14, 18,012.84 and 7,386.90 is: 10,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.14 : 18,012.84 = 7,386.90 : x
  2. Step 2: Convert to fraction form
    13,052.14/18,012.84 = 7,386.90/x
  3. Step 3: Cross multiply
    13,052.14x = 18,012.84 × 7,386.90
  4. Step 4: Simplify right side
    13,052.14x = 133,059,047.80
  5. Step 5: Solve for x
    x = 133,059,047.80/13,052.14
  6. Step 6: Final answer
    x = 10,194.42

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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.