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Finding the Fourth Proportional to 25,983.58, 38,976.76 and 8,212.89

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Solution

The fourth proportional to 25,983.58, 38,976.76 and 8,212.89 is: 12,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.58 : 38,976.76 = 8,212.89 : x
  2. Step 2: Convert to fraction form
    25,983.58/38,976.76 = 8,212.89/x
  3. Step 3: Cross multiply
    25,983.58x = 38,976.76 × 8,212.89
  4. Step 4: Simplify right side
    25,983.58x = 320,111,842.44
  5. Step 5: Solve for x
    x = 320,111,842.44/25,983.58
  6. Step 6: Final answer
    x = 12,319.77

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1.5x scale

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.