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Finding the Fourth Proportional to 4,394.71, 6,062.43 and 2,978.47

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Solution

The fourth proportional to 4,394.71, 6,062.43 and 2,978.47 is: 4,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.71 : 6,062.43 = 2,978.47 : x
  2. Step 2: Convert to fraction form
    4,394.71/6,062.43 = 2,978.47/x
  3. Step 3: Cross multiply
    4,394.71x = 6,062.43 × 2,978.47
  4. Step 4: Simplify right side
    4,394.71x = 18,056,765.88
  5. Step 5: Solve for x
    x = 18,056,765.88/4,394.71
  6. Step 6: Final answer
    x = 4,108.75

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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.