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Finding the Fourth Proportional to 4,935, 6,810.30 and 3,072

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Solution

The fourth proportional to 4,935, 6,810.30 and 3,072 is: 4,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935 : 6,810.30 = 3,072 : x
  2. Step 2: Convert to fraction form
    4,935/6,810.30 = 3,072/x
  3. Step 3: Cross multiply
    4,935x = 6,810.30 × 3,072
  4. Step 4: Simplify right side
    4,935x = 20,921,241.60
  5. Step 5: Solve for x
    x = 20,921,241.60/4,935
  6. Step 6: Final answer
    x = 4,239.36

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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.