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Finding the Fourth Proportional to 2,659.62, 3,989.43 and 810.75

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Solution

The fourth proportional to 2,659.62, 3,989.43 and 810.75 is: 1,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.62 : 3,989.43 = 810.75 : x
  2. Step 2: Convert to fraction form
    2,659.62/3,989.43 = 810.75/x
  3. Step 3: Cross multiply
    2,659.62x = 3,989.43 × 810.75
  4. Step 4: Simplify right side
    2,659.62x = 3,234,430.37
  5. Step 5: Solve for x
    x = 3,234,430.37/2,659.62
  6. Step 6: Final answer
    x = 1,216.13

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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.