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Finding the Fourth Proportional to 2,978.54, 4,110.46 and 1,798.92

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Solution

The fourth proportional to 2,978.54, 4,110.46 and 1,798.92 is: 2,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.54 : 4,110.46 = 1,798.92 : x
  2. Step 2: Convert to fraction form
    2,978.54/4,110.46 = 1,798.92/x
  3. Step 3: Cross multiply
    2,978.54x = 4,110.46 × 1,798.92
  4. Step 4: Simplify right side
    2,978.54x = 7,394,388.70
  5. Step 5: Solve for x
    x = 7,394,388.70/2,978.54
  6. Step 6: Final answer
    x = 2,482.55

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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.