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Finding the Fourth Proportional to 4,269.60, 6,393.60 and 3,405.60

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Solution

The fourth proportional to 4,269.60, 6,393.60 and 3,405.60 is: 5,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.60 : 6,393.60 = 3,405.60 : x
  2. Step 2: Convert to fraction form
    4,269.60/6,393.60 = 3,405.60/x
  3. Step 3: Cross multiply
    4,269.60x = 6,393.60 × 3,405.60
  4. Step 4: Simplify right side
    4,269.60x = 21,774,044.16
  5. Step 5: Solve for x
    x = 21,774,044.16/4,269.60
  6. Step 6: Final answer
    x = 5,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.