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Finding the Fourth Proportional to 2,786.68, 4,180.58 and 812.30

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Solution

The fourth proportional to 2,786.68, 4,180.58 and 812.30 is: 1,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.68 : 4,180.58 = 812.30 : x
  2. Step 2: Convert to fraction form
    2,786.68/4,180.58 = 812.30/x
  3. Step 3: Cross multiply
    2,786.68x = 4,180.58 × 812.30
  4. Step 4: Simplify right side
    2,786.68x = 3,395,881.07
  5. Step 5: Solve for x
    x = 3,395,881.07/2,786.68
  6. Step 6: Final answer
    x = 1,218.61

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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.