Home / 7,832-11,749.62-2,902.34

Finding the Fourth Proportional to 7,832, 11,749.62 and 2,902.34

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Solution

The fourth proportional to 7,832, 11,749.62 and 2,902.34 is: 4,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 11,749.62 = 2,902.34 : x
  2. Step 2: Convert to fraction form
    7,832/11,749.62 = 2,902.34/x
  3. Step 3: Cross multiply
    7,832x = 11,749.62 × 2,902.34
  4. Step 4: Simplify right side
    7,832x = 34,101,392.11
  5. Step 5: Solve for x
    x = 34,101,392.11/7,832
  6. Step 6: Final answer
    x = 4,354.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.