Home / 3,502-4,832.68-1,930.08

Finding the Fourth Proportional to 3,502, 4,832.68 and 1,930.08

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Solution

The fourth proportional to 3,502, 4,832.68 and 1,930.08 is: 2,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 4,832.68 = 1,930.08 : x
  2. Step 2: Convert to fraction form
    3,502/4,832.68 = 1,930.08/x
  3. Step 3: Cross multiply
    3,502x = 4,832.68 × 1,930.08
  4. Step 4: Simplify right side
    3,502x = 9,327,459.01
  5. Step 5: Solve for x
    x = 9,327,459.01/3,502
  6. Step 6: Final answer
    x = 2,663.47

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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.