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Finding the Fourth Proportional to 7,205.23, 9,940.93 and 5,687.98

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Solution

The fourth proportional to 7,205.23, 9,940.93 and 5,687.98 is: 7,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.23 : 9,940.93 = 5,687.98 : x
  2. Step 2: Convert to fraction form
    7,205.23/9,940.93 = 5,687.98/x
  3. Step 3: Cross multiply
    7,205.23x = 9,940.93 × 5,687.98
  4. Step 4: Simplify right side
    7,205.23x = 56,543,811.02
  5. Step 5: Solve for x
    x = 56,543,811.02/7,205.23
  6. Step 6: Final answer
    x = 7,847.61

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1.5x scale

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.