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Finding the Fourth Proportional to 30,894.26, 42,633.94 and 16,747.07

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Solution

The fourth proportional to 30,894.26, 42,633.94 and 16,747.07 is: 23,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.26 : 42,633.94 = 16,747.07 : x
  2. Step 2: Convert to fraction form
    30,894.26/42,633.94 = 16,747.07/x
  3. Step 3: Cross multiply
    30,894.26x = 42,633.94 × 16,747.07
  4. Step 4: Simplify right side
    30,894.26x = 713,993,577.56
  5. Step 5: Solve for x
    x = 713,993,577.56/30,894.26
  6. Step 6: Final answer
    x = 23,110.88

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1.5x scale

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.