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Finding the Fourth Proportional to 14,182.70, 19,568.18 and 9,147.13

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Solution

The fourth proportional to 14,182.70, 19,568.18 and 9,147.13 is: 12,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.70 : 19,568.18 = 9,147.13 : x
  2. Step 2: Convert to fraction form
    14,182.70/19,568.18 = 9,147.13/x
  3. Step 3: Cross multiply
    14,182.70x = 19,568.18 × 9,147.13
  4. Step 4: Simplify right side
    14,182.70x = 178,992,660.27
  5. Step 5: Solve for x
    x = 178,992,660.27/14,182.70
  6. Step 6: Final answer
    x = 12,620.50

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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.