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Finding the Fourth Proportional to 2,588.66, 3,882.34 and 739.79

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Solution

The fourth proportional to 2,588.66, 3,882.34 and 739.79 is: 1,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.66 : 3,882.34 = 739.79 : x
  2. Step 2: Convert to fraction form
    2,588.66/3,882.34 = 739.79/x
  3. Step 3: Cross multiply
    2,588.66x = 3,882.34 × 739.79
  4. Step 4: Simplify right side
    2,588.66x = 2,872,107.96
  5. Step 5: Solve for x
    x = 2,872,107.96/2,588.66
  6. Step 6: Final answer
    x = 1,109.49

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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.