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Finding the Fourth Proportional to 2,810.80, 4,213.80 and 1,986.48

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Solution

The fourth proportional to 2,810.80, 4,213.80 and 1,986.48 is: 2,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.80 : 4,213.80 = 1,986.48 : x
  2. Step 2: Convert to fraction form
    2,810.80/4,213.80 = 1,986.48/x
  3. Step 3: Cross multiply
    2,810.80x = 4,213.80 × 1,986.48
  4. Step 4: Simplify right side
    2,810.80x = 8,370,629.42
  5. Step 5: Solve for x
    x = 8,370,629.42/2,810.80
  6. Step 6: Final answer
    x = 2,978.02

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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.