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Finding the Fourth Proportional to 2,797.10, 3,860.15 and 1,678.83

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Solution

The fourth proportional to 2,797.10, 3,860.15 and 1,678.83 is: 2,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.10 : 3,860.15 = 1,678.83 : x
  2. Step 2: Convert to fraction form
    2,797.10/3,860.15 = 1,678.83/x
  3. Step 3: Cross multiply
    2,797.10x = 3,860.15 × 1,678.83
  4. Step 4: Simplify right side
    2,797.10x = 6,480,527.23
  5. Step 5: Solve for x
    x = 6,480,527.23/2,797.10
  6. Step 6: Final answer
    x = 2,316.88

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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.