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Finding the Fourth Proportional to 2,797.88, 3,861.14 and 1,678.86

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Solution

The fourth proportional to 2,797.88, 3,861.14 and 1,678.86 is: 2,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.88 : 3,861.14 = 1,678.86 : x
  2. Step 2: Convert to fraction form
    2,797.88/3,861.14 = 1,678.86/x
  3. Step 3: Cross multiply
    2,797.88x = 3,861.14 × 1,678.86
  4. Step 4: Simplify right side
    2,797.88x = 6,482,305.11
  5. Step 5: Solve for x
    x = 6,482,305.11/2,797.88
  6. Step 6: Final answer
    x = 2,316.87

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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.