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Finding the Fourth Proportional to 30,765.80, 46,150.52 and 8,578.68

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Solution

The fourth proportional to 30,765.80, 46,150.52 and 8,578.68 is: 12,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.80 : 46,150.52 = 8,578.68 : x
  2. Step 2: Convert to fraction form
    30,765.80/46,150.52 = 8,578.68/x
  3. Step 3: Cross multiply
    30,765.80x = 46,150.52 × 8,578.68
  4. Step 4: Simplify right side
    30,765.80x = 395,910,542.91
  5. Step 5: Solve for x
    x = 395,910,542.91/30,765.80
  6. Step 6: Final answer
    x = 12,868.53

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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.