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Finding the Fourth Proportional to 4,978.36, 6,869.82 and 2,989

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Solution

The fourth proportional to 4,978.36, 6,869.82 and 2,989 is: 4,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.36 : 6,869.82 = 2,989 : x
  2. Step 2: Convert to fraction form
    4,978.36/6,869.82 = 2,989/x
  3. Step 3: Cross multiply
    4,978.36x = 6,869.82 × 2,989
  4. Step 4: Simplify right side
    4,978.36x = 20,533,891.98
  5. Step 5: Solve for x
    x = 20,533,891.98/4,978.36
  6. Step 6: Final answer
    x = 4,124.63

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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.