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Finding the Fourth Proportional to 2,798, 3,859.80 and 2,090.96

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Solution

The fourth proportional to 2,798, 3,859.80 and 2,090.96 is: 2,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798 : 3,859.80 = 2,090.96 : x
  2. Step 2: Convert to fraction form
    2,798/3,859.80 = 2,090.96/x
  3. Step 3: Cross multiply
    2,798x = 3,859.80 × 2,090.96
  4. Step 4: Simplify right side
    2,798x = 8,070,687.41
  5. Step 5: Solve for x
    x = 8,070,687.41/2,798
  6. Step 6: Final answer
    x = 2,884.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.