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Finding the Fourth Proportional to 30,568.16, 45,849.16 and 8,383.76

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Solution

The fourth proportional to 30,568.16, 45,849.16 and 8,383.76 is: 12,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.16 : 45,849.16 = 8,383.76 : x
  2. Step 2: Convert to fraction form
    30,568.16/45,849.16 = 8,383.76/x
  3. Step 3: Cross multiply
    30,568.16x = 45,849.16 × 8,383.76
  4. Step 4: Simplify right side
    30,568.16x = 384,388,311.72
  5. Step 5: Solve for x
    x = 384,388,311.72/30,568.16
  6. Step 6: Final answer
    x = 12,574.80

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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.