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Finding the Fourth Proportional to 4,649, 6,415.62 and 2,786

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Solution

The fourth proportional to 4,649, 6,415.62 and 2,786 is: 3,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649 : 6,415.62 = 2,786 : x
  2. Step 2: Convert to fraction form
    4,649/6,415.62 = 2,786/x
  3. Step 3: Cross multiply
    4,649x = 6,415.62 × 2,786
  4. Step 4: Simplify right side
    4,649x = 17,873,917.32
  5. Step 5: Solve for x
    x = 17,873,917.32/4,649
  6. Step 6: Final answer
    x = 3,844.68

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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.