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Finding the Fourth Proportional to 4,580, 6,321.96 and 3,086.96

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Solution

The fourth proportional to 4,580, 6,321.96 and 3,086.96 is: 4,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,321.96 = 3,086.96 : x
  2. Step 2: Convert to fraction form
    4,580/6,321.96 = 3,086.96/x
  3. Step 3: Cross multiply
    4,580x = 6,321.96 × 3,086.96
  4. Step 4: Simplify right side
    4,580x = 19,515,637.64
  5. Step 5: Solve for x
    x = 19,515,637.64/4,580
  6. Step 6: Final answer
    x = 4,261.06

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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.