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Finding the Fourth Proportional to 4,284, 6,422.86 and 2,893.88

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Solution

The fourth proportional to 4,284, 6,422.86 and 2,893.88 is: 4,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 6,422.86 = 2,893.88 : x
  2. Step 2: Convert to fraction form
    4,284/6,422.86 = 2,893.88/x
  3. Step 3: Cross multiply
    4,284x = 6,422.86 × 2,893.88
  4. Step 4: Simplify right side
    4,284x = 18,586,986.10
  5. Step 5: Solve for x
    x = 18,586,986.10/4,284
  6. Step 6: Final answer
    x = 4,338.70

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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.