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Finding the Fourth Proportional to 7,789.80, 11,684.81 and 3,628.63

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Solution

The fourth proportional to 7,789.80, 11,684.81 and 3,628.63 is: 5,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.80 : 11,684.81 = 3,628.63 : x
  2. Step 2: Convert to fraction form
    7,789.80/11,684.81 = 3,628.63/x
  3. Step 3: Cross multiply
    7,789.80x = 11,684.81 × 3,628.63
  4. Step 4: Simplify right side
    7,789.80x = 42,399,852.11
  5. Step 5: Solve for x
    x = 42,399,852.11/7,789.80
  6. Step 6: Final answer
    x = 5,443.00

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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.