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Finding the Fourth Proportional to 7,797, 10,759.86 and 4,260

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Solution

The fourth proportional to 7,797, 10,759.86 and 4,260 is: 5,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 10,759.86 = 4,260 : x
  2. Step 2: Convert to fraction form
    7,797/10,759.86 = 4,260/x
  3. Step 3: Cross multiply
    7,797x = 10,759.86 × 4,260
  4. Step 4: Simplify right side
    7,797x = 45,837,003.60
  5. Step 5: Solve for x
    x = 45,837,003.60/7,797
  6. Step 6: Final answer
    x = 5,878.80

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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.