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Finding the Fourth Proportional to 3,135.69, 4,326.83 and 1,809.82

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Solution

The fourth proportional to 3,135.69, 4,326.83 and 1,809.82 is: 2,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.69 : 4,326.83 = 1,809.82 : x
  2. Step 2: Convert to fraction form
    3,135.69/4,326.83 = 1,809.82/x
  3. Step 3: Cross multiply
    3,135.69x = 4,326.83 × 1,809.82
  4. Step 4: Simplify right side
    3,135.69x = 7,830,783.47
  5. Step 5: Solve for x
    x = 7,830,783.47/3,135.69
  6. Step 6: Final answer
    x = 2,497.31

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