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Finding the Fourth Proportional to 5,512, 7,610.40 and 3,858.24

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Solution

The fourth proportional to 5,512, 7,610.40 and 3,858.24 is: 5,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512 : 7,610.40 = 3,858.24 : x
  2. Step 2: Convert to fraction form
    5,512/7,610.40 = 3,858.24/x
  3. Step 3: Cross multiply
    5,512x = 7,610.40 × 3,858.24
  4. Step 4: Simplify right side
    5,512x = 29,362,749.70
  5. Step 5: Solve for x
    x = 29,362,749.70/5,512
  6. Step 6: Final answer
    x = 5,327.06

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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.