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Finding the Fourth Proportional to 3,206.80, 4,804.80 and 3,012.40

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Solution

The fourth proportional to 3,206.80, 4,804.80 and 3,012.40 is: 4,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.80 : 4,804.80 = 3,012.40 : x
  2. Step 2: Convert to fraction form
    3,206.80/4,804.80 = 3,012.40/x
  3. Step 3: Cross multiply
    3,206.80x = 4,804.80 × 3,012.40
  4. Step 4: Simplify right side
    3,206.80x = 14,473,979.52
  5. Step 5: Solve for x
    x = 14,473,979.52/3,206.80
  6. Step 6: Final answer
    x = 4,513.53

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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.