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Finding the Fourth Proportional to 30,290, 41,800.56 and 16,861.82

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Solution

The fourth proportional to 30,290, 41,800.56 and 16,861.82 is: 23,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290 : 41,800.56 = 16,861.82 : x
  2. Step 2: Convert to fraction form
    30,290/41,800.56 = 16,861.82/x
  3. Step 3: Cross multiply
    30,290x = 41,800.56 × 16,861.82
  4. Step 4: Simplify right side
    30,290x = 704,833,518.62
  5. Step 5: Solve for x
    x = 704,833,518.62/30,290
  6. Step 6: Final answer
    x = 23,269.51

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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.