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Finding the Fourth Proportional to 2,027.40, 2,784.60 and 1,978.80

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Solution

The fourth proportional to 2,027.40, 2,784.60 and 1,978.80 is: 2,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.40 : 2,784.60 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    2,027.40/2,784.60 = 1,978.80/x
  3. Step 3: Cross multiply
    2,027.40x = 2,784.60 × 1,978.80
  4. Step 4: Simplify right side
    2,027.40x = 5,510,166.48
  5. Step 5: Solve for x
    x = 5,510,166.48/2,027.40
  6. Step 6: Final answer
    x = 2,717.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.