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Finding the Fourth Proportional to 2,764.86, 3,815.06 and 1,645.76

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Solution

The fourth proportional to 2,764.86, 3,815.06 and 1,645.76 is: 2,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.86 : 3,815.06 = 1,645.76 : x
  2. Step 2: Convert to fraction form
    2,764.86/3,815.06 = 1,645.76/x
  3. Step 3: Cross multiply
    2,764.86x = 3,815.06 × 1,645.76
  4. Step 4: Simplify right side
    2,764.86x = 6,278,673.15
  5. Step 5: Solve for x
    x = 6,278,673.15/2,764.86
  6. Step 6: Final answer
    x = 2,270.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.