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Finding the Fourth Proportional to 2,856, 3,940.64 and 1,677.12

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Solution

The fourth proportional to 2,856, 3,940.64 and 1,677.12 is: 2,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856 : 3,940.64 = 1,677.12 : x
  2. Step 2: Convert to fraction form
    2,856/3,940.64 = 1,677.12/x
  3. Step 3: Cross multiply
    2,856x = 3,940.64 × 1,677.12
  4. Step 4: Simplify right side
    2,856x = 6,608,926.16
  5. Step 5: Solve for x
    x = 6,608,926.16/2,856
  6. Step 6: Final answer
    x = 2,314.05

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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.