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Finding the Fourth Proportional to 30,949, 46,363.74 and 18,479.02

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Solution

The fourth proportional to 30,949, 46,363.74 and 18,479.02 is: 27,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949 : 46,363.74 = 18,479.02 : x
  2. Step 2: Convert to fraction form
    30,949/46,363.74 = 18,479.02/x
  3. Step 3: Cross multiply
    30,949x = 46,363.74 × 18,479.02
  4. Step 4: Simplify right side
    30,949x = 856,756,478.73
  5. Step 5: Solve for x
    x = 856,756,478.73/30,949
  6. Step 6: Final answer
    x = 27,682.85

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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.