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Finding the Fourth Proportional to 30,396.16, 45,591.04 and 8,208.16

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Solution

The fourth proportional to 30,396.16, 45,591.04 and 8,208.16 is: 12,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.16 : 45,591.04 = 8,208.16 : x
  2. Step 2: Convert to fraction form
    30,396.16/45,591.04 = 8,208.16/x
  3. Step 3: Cross multiply
    30,396.16x = 45,591.04 × 8,208.16
  4. Step 4: Simplify right side
    30,396.16x = 374,218,550.89
  5. Step 5: Solve for x
    x = 374,218,550.89/30,396.16
  6. Step 6: Final answer
    x = 12,311.38

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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.