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Finding the Fourth Proportional to 2,856, 4,286.88 and 2,078.40

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Solution

The fourth proportional to 2,856, 4,286.88 and 2,078.40 is: 3,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856 : 4,286.88 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    2,856/4,286.88 = 2,078.40/x
  3. Step 3: Cross multiply
    2,856x = 4,286.88 × 2,078.40
  4. Step 4: Simplify right side
    2,856x = 8,909,851.39
  5. Step 5: Solve for x
    x = 8,909,851.39/2,856
  6. Step 6: Final answer
    x = 3,119.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.