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Finding the Fourth Proportional to 8,537.73, 12,786.90 and 8,242.21

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Solution

The fourth proportional to 8,537.73, 12,786.90 and 8,242.21 is: 12,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.73 : 12,786.90 = 8,242.21 : x
  2. Step 2: Convert to fraction form
    8,537.73/12,786.90 = 8,242.21/x
  3. Step 3: Cross multiply
    8,537.73x = 12,786.90 × 8,242.21
  4. Step 4: Simplify right side
    8,537.73x = 105,392,315.05
  5. Step 5: Solve for x
    x = 105,392,315.05/8,537.73
  6. Step 6: Final answer
    x = 12,344.30

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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.