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Finding the Fourth Proportional to 30,894.86, 46,306.49 and 14,219.88

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Solution

The fourth proportional to 30,894.86, 46,306.49 and 14,219.88 is: 21,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.86 : 46,306.49 = 14,219.88 : x
  2. Step 2: Convert to fraction form
    30,894.86/46,306.49 = 14,219.88/x
  3. Step 3: Cross multiply
    30,894.86x = 46,306.49 × 14,219.88
  4. Step 4: Simplify right side
    30,894.86x = 658,472,659.92
  5. Step 5: Solve for x
    x = 658,472,659.92/30,894.86
  6. Step 6: Final answer
    x = 21,313.34

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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.