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Finding the Fourth Proportional to 8,441.50, 12,662.26 and 2,285.50

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Solution

The fourth proportional to 8,441.50, 12,662.26 and 2,285.50 is: 3,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.50 : 12,662.26 = 2,285.50 : x
  2. Step 2: Convert to fraction form
    8,441.50/12,662.26 = 2,285.50/x
  3. Step 3: Cross multiply
    8,441.50x = 12,662.26 × 2,285.50
  4. Step 4: Simplify right side
    8,441.50x = 28,939,595.23
  5. Step 5: Solve for x
    x = 28,939,595.23/8,441.50
  6. Step 6: Final answer
    x = 3,428.25

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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.