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Finding the Fourth Proportional to 3,464.38, 4,780.88 and 1,972.65

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Solution

The fourth proportional to 3,464.38, 4,780.88 and 1,972.65 is: 2,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.38 : 4,780.88 = 1,972.65 : x
  2. Step 2: Convert to fraction form
    3,464.38/4,780.88 = 1,972.65/x
  3. Step 3: Cross multiply
    3,464.38x = 4,780.88 × 1,972.65
  4. Step 4: Simplify right side
    3,464.38x = 9,431,002.93
  5. Step 5: Solve for x
    x = 9,431,002.93/3,464.38
  6. Step 6: Final answer
    x = 2,722.28

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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.