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Finding the Fourth Proportional to 3,098.94, 4,274.97 and 1,978.71

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Solution

The fourth proportional to 3,098.94, 4,274.97 and 1,978.71 is: 2,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.94 : 4,274.97 = 1,978.71 : x
  2. Step 2: Convert to fraction form
    3,098.94/4,274.97 = 1,978.71/x
  3. Step 3: Cross multiply
    3,098.94x = 4,274.97 × 1,978.71
  4. Step 4: Simplify right side
    3,098.94x = 8,458,925.89
  5. Step 5: Solve for x
    x = 8,458,925.89/3,098.94
  6. Step 6: Final answer
    x = 2,729.62

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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.