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Finding the Fourth Proportional to 30,762.78, 46,092.22 and 18,891.81

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Solution

The fourth proportional to 30,762.78, 46,092.22 and 18,891.81 is: 28,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.78 : 46,092.22 = 18,891.81 : x
  2. Step 2: Convert to fraction form
    30,762.78/46,092.22 = 18,891.81/x
  3. Step 3: Cross multiply
    30,762.78x = 46,092.22 × 18,891.81
  4. Step 4: Simplify right side
    30,762.78x = 870,765,462.72
  5. Step 5: Solve for x
    x = 870,765,462.72/30,762.78
  6. Step 6: Final answer
    x = 28,305.81

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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.