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Finding the Fourth Proportional to 5,470.80, 8,203.80 and 2,182.80

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Solution

The fourth proportional to 5,470.80, 8,203.80 and 2,182.80 is: 3,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.80 : 8,203.80 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    5,470.80/8,203.80 = 2,182.80/x
  3. Step 3: Cross multiply
    5,470.80x = 8,203.80 × 2,182.80
  4. Step 4: Simplify right side
    5,470.80x = 17,907,254.64
  5. Step 5: Solve for x
    x = 17,907,254.64/5,470.80
  6. Step 6: Final answer
    x = 3,273.24

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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.