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Finding the Fourth Proportional to 3,502, 4,832.64 and 1,930

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Solution

The fourth proportional to 3,502, 4,832.64 and 1,930 is: 2,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 4,832.64 = 1,930 : x
  2. Step 2: Convert to fraction form
    3,502/4,832.64 = 1,930/x
  3. Step 3: Cross multiply
    3,502x = 4,832.64 × 1,930
  4. Step 4: Simplify right side
    3,502x = 9,326,995.20
  5. Step 5: Solve for x
    x = 9,326,995.20/3,502
  6. Step 6: Final answer
    x = 2,663.33

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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.