Home / 3,502-4,832.86-1,930.20

Finding the Fourth Proportional to 3,502, 4,832.86 and 1,930.20

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Solution

The fourth proportional to 3,502, 4,832.86 and 1,930.20 is: 2,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 4,832.86 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    3,502/4,832.86 = 1,930.20/x
  3. Step 3: Cross multiply
    3,502x = 4,832.86 × 1,930.20
  4. Step 4: Simplify right side
    3,502x = 9,328,386.37
  5. Step 5: Solve for x
    x = 9,328,386.37/3,502
  6. Step 6: Final answer
    x = 2,663.73

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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.