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Finding the Fourth Proportional to 7,229.40, 9,969.99 and 6,112.67

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Solution

The fourth proportional to 7,229.40, 9,969.99 and 6,112.67 is: 8,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.40 : 9,969.99 = 6,112.67 : x
  2. Step 2: Convert to fraction form
    7,229.40/9,969.99 = 6,112.67/x
  3. Step 3: Cross multiply
    7,229.40x = 9,969.99 × 6,112.67
  4. Step 4: Simplify right side
    7,229.40x = 60,943,186.00
  5. Step 5: Solve for x
    x = 60,943,186.00/7,229.40
  6. Step 6: Final answer
    x = 8,429.91

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1.5x scale

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.