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Finding the Fourth Proportional to 3,292, 4,539.60 and 2,173.60

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Solution

The fourth proportional to 3,292, 4,539.60 and 2,173.60 is: 2,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292 : 4,539.60 = 2,173.60 : x
  2. Step 2: Convert to fraction form
    3,292/4,539.60 = 2,173.60/x
  3. Step 3: Cross multiply
    3,292x = 4,539.60 × 2,173.60
  4. Step 4: Simplify right side
    3,292x = 9,867,274.56
  5. Step 5: Solve for x
    x = 9,867,274.56/3,292
  6. Step 6: Final answer
    x = 2,997.35

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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.