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Finding the Fourth Proportional to 7,768.48, 10,720.74 and 4,231.48

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Solution

The fourth proportional to 7,768.48, 10,720.74 and 4,231.48 is: 5,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.48 : 10,720.74 = 4,231.48 : x
  2. Step 2: Convert to fraction form
    7,768.48/10,720.74 = 4,231.48/x
  3. Step 3: Cross multiply
    7,768.48x = 10,720.74 × 4,231.48
  4. Step 4: Simplify right side
    7,768.48x = 45,364,596.90
  5. Step 5: Solve for x
    x = 45,364,596.90/7,768.48
  6. Step 6: Final answer
    x = 5,839.57

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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.