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Finding the Fourth Proportional to 2,768.04, 4,153.08 and 1,306.85

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Solution

The fourth proportional to 2,768.04, 4,153.08 and 1,306.85 is: 1,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.04 : 4,153.08 = 1,306.85 : x
  2. Step 2: Convert to fraction form
    2,768.04/4,153.08 = 1,306.85/x
  3. Step 3: Cross multiply
    2,768.04x = 4,153.08 × 1,306.85
  4. Step 4: Simplify right side
    2,768.04x = 5,427,431.83
  5. Step 5: Solve for x
    x = 5,427,431.83/2,768.04
  6. Step 6: Final answer
    x = 1,960.75

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1.5x scale

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.