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Finding the Fourth Proportional to 7,771.37, 11,657.03 and 1,927.98

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Solution

The fourth proportional to 7,771.37, 11,657.03 and 1,927.98 is: 2,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.37 : 11,657.03 = 1,927.98 : x
  2. Step 2: Convert to fraction form
    7,771.37/11,657.03 = 1,927.98/x
  3. Step 3: Cross multiply
    7,771.37x = 11,657.03 × 1,927.98
  4. Step 4: Simplify right side
    7,771.37x = 22,474,462.41
  5. Step 5: Solve for x
    x = 22,474,462.41/7,771.37
  6. Step 6: Final answer
    x = 2,891.96

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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.