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Finding the Fourth Proportional to 7,756.91, 11,640.58 and 7,728.37

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Solution

The fourth proportional to 7,756.91, 11,640.58 and 7,728.37 is: 11,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.91 : 11,640.58 = 7,728.37 : x
  2. Step 2: Convert to fraction form
    7,756.91/11,640.58 = 7,728.37/x
  3. Step 3: Cross multiply
    7,756.91x = 11,640.58 × 7,728.37
  4. Step 4: Simplify right side
    7,756.91x = 89,962,709.25
  5. Step 5: Solve for x
    x = 89,962,709.25/7,756.91
  6. Step 6: Final answer
    x = 11,597.75

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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.