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Finding the Fourth Proportional to 4,968.31, 6,853.80 and 2,978.41

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Solution

The fourth proportional to 4,968.31, 6,853.80 and 2,978.41 is: 4,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.31 : 6,853.80 = 2,978.41 : x
  2. Step 2: Convert to fraction form
    4,968.31/6,853.80 = 2,978.41/x
  3. Step 3: Cross multiply
    4,968.31x = 6,853.80 × 2,978.41
  4. Step 4: Simplify right side
    4,968.31x = 20,413,426.46
  5. Step 5: Solve for x
    x = 20,413,426.46/4,968.31
  6. Step 6: Final answer
    x = 4,108.73

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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.