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Finding the Fourth Proportional to 5,679, 7,838.13 and 3,321.60

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Solution

The fourth proportional to 5,679, 7,838.13 and 3,321.60 is: 4,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679 : 7,838.13 = 3,321.60 : x
  2. Step 2: Convert to fraction form
    5,679/7,838.13 = 3,321.60/x
  3. Step 3: Cross multiply
    5,679x = 7,838.13 × 3,321.60
  4. Step 4: Simplify right side
    5,679x = 26,035,132.61
  5. Step 5: Solve for x
    x = 26,035,132.61/5,679
  6. Step 6: Final answer
    x = 4,584.46

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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.