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Finding the Fourth Proportional to 3,205.60, 4,804.80 and 1,356.40

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Solution

The fourth proportional to 3,205.60, 4,804.80 and 1,356.40 is: 2,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.60 : 4,804.80 = 1,356.40 : x
  2. Step 2: Convert to fraction form
    3,205.60/4,804.80 = 1,356.40/x
  3. Step 3: Cross multiply
    3,205.60x = 4,804.80 × 1,356.40
  4. Step 4: Simplify right side
    3,205.60x = 6,517,230.72
  5. Step 5: Solve for x
    x = 6,517,230.72/3,205.60
  6. Step 6: Final answer
    x = 2,033.08

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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.