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Finding the Fourth Proportional to 7,685.37, 11,512.94 and 5,739.21

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Solution

The fourth proportional to 7,685.37, 11,512.94 and 5,739.21 is: 8,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.37 : 11,512.94 = 5,739.21 : x
  2. Step 2: Convert to fraction form
    7,685.37/11,512.94 = 5,739.21/x
  3. Step 3: Cross multiply
    7,685.37x = 11,512.94 × 5,739.21
  4. Step 4: Simplify right side
    7,685.37x = 66,075,151.68
  5. Step 5: Solve for x
    x = 66,075,151.68/7,685.37
  6. Step 6: Final answer
    x = 8,597.52

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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.