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Finding the Fourth Proportional to 2,797.60, 3,860 and 1,678.62

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Solution

The fourth proportional to 2,797.60, 3,860 and 1,678.62 is: 2,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.60 : 3,860 = 1,678.62 : x
  2. Step 2: Convert to fraction form
    2,797.60/3,860 = 1,678.62/x
  3. Step 3: Cross multiply
    2,797.60x = 3,860 × 1,678.62
  4. Step 4: Simplify right side
    2,797.60x = 6,479,473.20
  5. Step 5: Solve for x
    x = 6,479,473.20/2,797.60
  6. Step 6: Final answer
    x = 2,316.08

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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.