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Finding the Fourth Proportional to 2,800.30, 4,201.80 and 1,976.80

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Solution

The fourth proportional to 2,800.30, 4,201.80 and 1,976.80 is: 2,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.30 : 4,201.80 = 1,976.80 : x
  2. Step 2: Convert to fraction form
    2,800.30/4,201.80 = 1,976.80/x
  3. Step 3: Cross multiply
    2,800.30x = 4,201.80 × 1,976.80
  4. Step 4: Simplify right side
    2,800.30x = 8,306,118.24
  5. Step 5: Solve for x
    x = 8,306,118.24/2,800.30
  6. Step 6: Final answer
    x = 2,966.15

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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.