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Finding the Fourth Proportional to 30,568.69, 45,849.95 and 8,384.29

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Solution

The fourth proportional to 30,568.69, 45,849.95 and 8,384.29 is: 12,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.69 : 45,849.95 = 8,384.29 : x
  2. Step 2: Convert to fraction form
    30,568.69/45,849.95 = 8,384.29/x
  3. Step 3: Cross multiply
    30,568.69x = 45,849.95 × 8,384.29
  4. Step 4: Simplify right side
    30,568.69x = 384,419,277.29
  5. Step 5: Solve for x
    x = 384,419,277.29/30,568.69
  6. Step 6: Final answer
    x = 12,575.59

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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.