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Finding the Fourth Proportional to 30,155.43, 41,619.47 and 16,731

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Solution

The fourth proportional to 30,155.43, 41,619.47 and 16,731 is: 23,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155.43 : 41,619.47 = 16,731 : x
  2. Step 2: Convert to fraction form
    30,155.43/41,619.47 = 16,731/x
  3. Step 3: Cross multiply
    30,155.43x = 41,619.47 × 16,731
  4. Step 4: Simplify right side
    30,155.43x = 696,335,352.57
  5. Step 5: Solve for x
    x = 696,335,352.57/30,155.43
  6. Step 6: Final answer
    x = 23,091.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.