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Finding the Fourth Proportional to 3,470.46, 4,790.07 and 1,979.25

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Solution

The fourth proportional to 3,470.46, 4,790.07 and 1,979.25 is: 2,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.46 : 4,790.07 = 1,979.25 : x
  2. Step 2: Convert to fraction form
    3,470.46/4,790.07 = 1,979.25/x
  3. Step 3: Cross multiply
    3,470.46x = 4,790.07 × 1,979.25
  4. Step 4: Simplify right side
    3,470.46x = 9,480,746.05
  5. Step 5: Solve for x
    x = 9,480,746.05/3,470.46
  6. Step 6: Final answer
    x = 2,731.84

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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.