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Finding the Fourth Proportional to 30,940.40, 46,479.72 and 29,774

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Solution

The fourth proportional to 30,940.40, 46,479.72 and 29,774 is: 44,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.40 : 46,479.72 = 29,774 : x
  2. Step 2: Convert to fraction form
    30,940.40/46,479.72 = 29,774/x
  3. Step 3: Cross multiply
    30,940.40x = 46,479.72 × 29,774
  4. Step 4: Simplify right side
    30,940.40x = 1,383,887,183.28
  5. Step 5: Solve for x
    x = 1,383,887,183.28/30,940.40
  6. Step 6: Final answer
    x = 44,727.51

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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.