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Finding the Fourth Proportional to 4,891.69, 6,749.78 and 3,213.78

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Solution

The fourth proportional to 4,891.69, 6,749.78 and 3,213.78 is: 4,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.69 : 6,749.78 = 3,213.78 : x
  2. Step 2: Convert to fraction form
    4,891.69/6,749.78 = 3,213.78/x
  3. Step 3: Cross multiply
    4,891.69x = 6,749.78 × 3,213.78
  4. Step 4: Simplify right side
    4,891.69x = 21,692,284.67
  5. Step 5: Solve for x
    x = 21,692,284.67/4,891.69
  6. Step 6: Final answer
    x = 4,434.52

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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.