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Finding the Fourth Proportional to 7,137.75, 9,892.11 and 7,028.40

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Solution

The fourth proportional to 7,137.75, 9,892.11 and 7,028.40 is: 9,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.75 : 9,892.11 = 7,028.40 : x
  2. Step 2: Convert to fraction form
    7,137.75/9,892.11 = 7,028.40/x
  3. Step 3: Cross multiply
    7,137.75x = 9,892.11 × 7,028.40
  4. Step 4: Simplify right side
    7,137.75x = 69,525,705.92
  5. Step 5: Solve for x
    x = 69,525,705.92/7,137.75
  6. Step 6: Final answer
    x = 9,740.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.