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Finding the Fourth Proportional to 4,978.41, 6,869.76 and 2,740.26

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Solution

The fourth proportional to 4,978.41, 6,869.76 and 2,740.26 is: 3,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.41 : 6,869.76 = 2,740.26 : x
  2. Step 2: Convert to fraction form
    4,978.41/6,869.76 = 2,740.26/x
  3. Step 3: Cross multiply
    4,978.41x = 6,869.76 × 2,740.26
  4. Step 4: Simplify right side
    4,978.41x = 18,824,928.54
  5. Step 5: Solve for x
    x = 18,824,928.54/4,978.41
  6. Step 6: Final answer
    x = 3,781.31

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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.