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Finding the Fourth Proportional to 3,306.80, 4,563 and 1,980.32

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Solution

The fourth proportional to 3,306.80, 4,563 and 1,980.32 is: 2,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.80 : 4,563 = 1,980.32 : x
  2. Step 2: Convert to fraction form
    3,306.80/4,563 = 1,980.32/x
  3. Step 3: Cross multiply
    3,306.80x = 4,563 × 1,980.32
  4. Step 4: Simplify right side
    3,306.80x = 9,036,200.16
  5. Step 5: Solve for x
    x = 9,036,200.16/3,306.80
  6. Step 6: Final answer
    x = 2,732.61

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1.5x scale

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.