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Finding the Fourth Proportional to 8,313.42, 12,468.81 and 2,770.62

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Solution

The fourth proportional to 8,313.42, 12,468.81 and 2,770.62 is: 4,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.42 : 12,468.81 = 2,770.62 : x
  2. Step 2: Convert to fraction form
    8,313.42/12,468.81 = 2,770.62/x
  3. Step 3: Cross multiply
    8,313.42x = 12,468.81 × 2,770.62
  4. Step 4: Simplify right side
    8,313.42x = 34,546,334.36
  5. Step 5: Solve for x
    x = 34,546,334.36/8,313.42
  6. Step 6: Final answer
    x = 4,155.49

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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.