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Finding the Fourth Proportional to 12,821.15, 19,241.46 and 8,651.27

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Solution

The fourth proportional to 12,821.15, 19,241.46 and 8,651.27 is: 12,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.15 : 19,241.46 = 8,651.27 : x
  2. Step 2: Convert to fraction form
    12,821.15/19,241.46 = 8,651.27/x
  3. Step 3: Cross multiply
    12,821.15x = 19,241.46 × 8,651.27
  4. Step 4: Simplify right side
    12,821.15x = 166,463,065.65
  5. Step 5: Solve for x
    x = 166,463,065.65/12,821.15
  6. Step 6: Final answer
    x = 12,983.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.