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Finding the Fourth Proportional to 7,137.71, 9,850.39 and 4,113.28

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Solution

The fourth proportional to 7,137.71, 9,850.39 and 4,113.28 is: 5,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.71 : 9,850.39 = 4,113.28 : x
  2. Step 2: Convert to fraction form
    7,137.71/9,850.39 = 4,113.28/x
  3. Step 3: Cross multiply
    7,137.71x = 9,850.39 × 4,113.28
  4. Step 4: Simplify right side
    7,137.71x = 40,517,412.18
  5. Step 5: Solve for x
    x = 40,517,412.18/7,137.71
  6. Step 6: Final answer
    x = 5,676.53

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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.