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Finding the Fourth Proportional to 5,105, 7,045.44 and 3,242

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Solution

The fourth proportional to 5,105, 7,045.44 and 3,242 is: 4,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105 : 7,045.44 = 3,242 : x
  2. Step 2: Convert to fraction form
    5,105/7,045.44 = 3,242/x
  3. Step 3: Cross multiply
    5,105x = 7,045.44 × 3,242
  4. Step 4: Simplify right side
    5,105x = 22,841,316.48
  5. Step 5: Solve for x
    x = 22,841,316.48/5,105
  6. Step 6: Final answer
    x = 4,474.30

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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.