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Finding the Fourth Proportional to 7,768.80, 11,642.81 and 2,833.79

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Solution

The fourth proportional to 7,768.80, 11,642.81 and 2,833.79 is: 4,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.80 : 11,642.81 = 2,833.79 : x
  2. Step 2: Convert to fraction form
    7,768.80/11,642.81 = 2,833.79/x
  3. Step 3: Cross multiply
    7,768.80x = 11,642.81 × 2,833.79
  4. Step 4: Simplify right side
    7,768.80x = 32,993,206.17
  5. Step 5: Solve for x
    x = 32,993,206.17/7,768.80
  6. Step 6: Final answer
    x = 4,246.89

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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.