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Finding the Fourth Proportional to 7,819.35, 11,728.98 and 1,975.98

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Solution

The fourth proportional to 7,819.35, 11,728.98 and 1,975.98 is: 2,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.35 : 11,728.98 = 1,975.98 : x
  2. Step 2: Convert to fraction form
    7,819.35/11,728.98 = 1,975.98/x
  3. Step 3: Cross multiply
    7,819.35x = 11,728.98 × 1,975.98
  4. Step 4: Simplify right side
    7,819.35x = 23,176,229.90
  5. Step 5: Solve for x
    x = 23,176,229.90/7,819.35
  6. Step 6: Final answer
    x = 2,963.96

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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.