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Finding the Fourth Proportional to 2,992.78, 4,130.60 and 1,982.70

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Solution

The fourth proportional to 2,992.78, 4,130.60 and 1,982.70 is: 2,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.78 : 4,130.60 = 1,982.70 : x
  2. Step 2: Convert to fraction form
    2,992.78/4,130.60 = 1,982.70/x
  3. Step 3: Cross multiply
    2,992.78x = 4,130.60 × 1,982.70
  4. Step 4: Simplify right side
    2,992.78x = 8,189,740.62
  5. Step 5: Solve for x
    x = 8,189,740.62/2,992.78
  6. Step 6: Final answer
    x = 2,736.50

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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.