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Finding the Fourth Proportional to 2,874.46, 3,965.06 and 1,811.80

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Solution

The fourth proportional to 2,874.46, 3,965.06 and 1,811.80 is: 2,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.46 : 3,965.06 = 1,811.80 : x
  2. Step 2: Convert to fraction form
    2,874.46/3,965.06 = 1,811.80/x
  3. Step 3: Cross multiply
    2,874.46x = 3,965.06 × 1,811.80
  4. Step 4: Simplify right side
    2,874.46x = 7,183,895.71
  5. Step 5: Solve for x
    x = 7,183,895.71/2,874.46
  6. Step 6: Final answer
    x = 2,499.22

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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.