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Finding the Fourth Proportional to 30,765.78, 46,096.72 and 18,894.82

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Solution

The fourth proportional to 30,765.78, 46,096.72 and 18,894.82 is: 28,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.78 : 46,096.72 = 18,894.82 : x
  2. Step 2: Convert to fraction form
    30,765.78/46,096.72 = 18,894.82/x
  3. Step 3: Cross multiply
    30,765.78x = 46,096.72 × 18,894.82
  4. Step 4: Simplify right side
    30,765.78x = 870,989,226.99
  5. Step 5: Solve for x
    x = 870,989,226.99/30,765.78
  6. Step 6: Final answer
    x = 28,310.32

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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.