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Finding the Fourth Proportional to 7,777.81, 10,647.50 and 7,722.23

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Solution

The fourth proportional to 7,777.81, 10,647.50 and 7,722.23 is: 10,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.81 : 10,647.50 = 7,722.23 : x
  2. Step 2: Convert to fraction form
    7,777.81/10,647.50 = 7,722.23/x
  3. Step 3: Cross multiply
    7,777.81x = 10,647.50 × 7,722.23
  4. Step 4: Simplify right side
    7,777.81x = 82,222,409.99
  5. Step 5: Solve for x
    x = 82,222,409.99/7,777.81
  6. Step 6: Final answer
    x = 10,571.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.