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Finding the Fourth Proportional to 4,978.44, 6,865.86 and 2,988.27

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Solution

The fourth proportional to 4,978.44, 6,865.86 and 2,988.27 is: 4,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.44 : 6,865.86 = 2,988.27 : x
  2. Step 2: Convert to fraction form
    4,978.44/6,865.86 = 2,988.27/x
  3. Step 3: Cross multiply
    4,978.44x = 6,865.86 × 2,988.27
  4. Step 4: Simplify right side
    4,978.44x = 20,517,043.46
  5. Step 5: Solve for x
    x = 20,517,043.46/4,978.44
  6. Step 6: Final answer
    x = 4,121.18

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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.