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Finding the Fourth Proportional to 4,931, 6,804.78 and 2,723

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Solution

The fourth proportional to 4,931, 6,804.78 and 2,723 is: 3,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931 : 6,804.78 = 2,723 : x
  2. Step 2: Convert to fraction form
    4,931/6,804.78 = 2,723/x
  3. Step 3: Cross multiply
    4,931x = 6,804.78 × 2,723
  4. Step 4: Simplify right side
    4,931x = 18,529,415.94
  5. Step 5: Solve for x
    x = 18,529,415.94/4,931
  6. Step 6: Final answer
    x = 3,757.74

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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.