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Finding the Fourth Proportional to 3,090.82, 4,634.82 and 1,335.00

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Solution

The fourth proportional to 3,090.82, 4,634.82 and 1,335.00 is: 2,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.82 : 4,634.82 = 1,335.00 : x
  2. Step 2: Convert to fraction form
    3,090.82/4,634.82 = 1,335.00/x
  3. Step 3: Cross multiply
    3,090.82x = 4,634.82 × 1,335.00
  4. Step 4: Simplify right side
    3,090.82x = 6,187,461.53
  5. Step 5: Solve for x
    x = 6,187,461.53/3,090.82
  6. Step 6: Final answer
    x = 2,001.88

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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.