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Finding the Fourth Proportional to 1,786.96, 2,682.51 and 813.07

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Solution

The fourth proportional to 1,786.96, 2,682.51 and 813.07 is: 1,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.96 : 2,682.51 = 813.07 : x
  2. Step 2: Convert to fraction form
    1,786.96/2,682.51 = 813.07/x
  3. Step 3: Cross multiply
    1,786.96x = 2,682.51 × 813.07
  4. Step 4: Simplify right side
    1,786.96x = 2,181,068.41
  5. Step 5: Solve for x
    x = 2,181,068.41/1,786.96
  6. Step 6: Final answer
    x = 1,220.55

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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.