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Finding the Fourth Proportional to 3,098.93, 4,274.94 and 1,978.69

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Solution

The fourth proportional to 3,098.93, 4,274.94 and 1,978.69 is: 2,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.93 : 4,274.94 = 1,978.69 : x
  2. Step 2: Convert to fraction form
    3,098.93/4,274.94 = 1,978.69/x
  3. Step 3: Cross multiply
    3,098.93x = 4,274.94 × 1,978.69
  4. Step 4: Simplify right side
    3,098.93x = 8,458,749.76
  5. Step 5: Solve for x
    x = 8,458,749.76/3,098.93
  6. Step 6: Final answer
    x = 2,729.58

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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.