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Finding the Fourth Proportional to 4,661.68, 6,989.84 and 2,789.44

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Solution

The fourth proportional to 4,661.68, 6,989.84 and 2,789.44 is: 4,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,989.84 = 2,789.44 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,989.84 = 2,789.44/x
  3. Step 3: Cross multiply
    4,661.68x = 6,989.84 × 2,789.44
  4. Step 4: Simplify right side
    4,661.68x = 19,497,739.29
  5. Step 5: Solve for x
    x = 19,497,739.29/4,661.68
  6. Step 6: Final answer
    x = 4,182.56

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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.