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Finding the Fourth Proportional to 2,787, 4,181.37 and 1,677.66

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Solution

The fourth proportional to 2,787, 4,181.37 and 1,677.66 is: 2,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787 : 4,181.37 = 1,677.66 : x
  2. Step 2: Convert to fraction form
    2,787/4,181.37 = 1,677.66/x
  3. Step 3: Cross multiply
    2,787x = 4,181.37 × 1,677.66
  4. Step 4: Simplify right side
    2,787x = 7,014,917.19
  5. Step 5: Solve for x
    x = 7,014,917.19/2,787
  6. Step 6: Final answer
    x = 2,517.01

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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.