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Finding the Fourth Proportional to 2,718.80, 4,078.20 and 1,980.80

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Solution

The fourth proportional to 2,718.80, 4,078.20 and 1,980.80 is: 2,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.80 : 4,078.20 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    2,718.80/4,078.20 = 1,980.80/x
  3. Step 3: Cross multiply
    2,718.80x = 4,078.20 × 1,980.80
  4. Step 4: Simplify right side
    2,718.80x = 8,078,098.56
  5. Step 5: Solve for x
    x = 8,078,098.56/2,718.80
  6. Step 6: Final answer
    x = 2,971.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.