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Finding the Fourth Proportional to 4,739.70, 6,540.81 and 2,643.82

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Solution

The fourth proportional to 4,739.70, 6,540.81 and 2,643.82 is: 3,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.70 : 6,540.81 = 2,643.82 : x
  2. Step 2: Convert to fraction form
    4,739.70/6,540.81 = 2,643.82/x
  3. Step 3: Cross multiply
    4,739.70x = 6,540.81 × 2,643.82
  4. Step 4: Simplify right side
    4,739.70x = 17,292,724.29
  5. Step 5: Solve for x
    x = 17,292,724.29/4,739.70
  6. Step 6: Final answer
    x = 3,648.48

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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.