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Finding the Fourth Proportional to 7,993.28, 11,964 and 7,129.28

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Solution

The fourth proportional to 7,993.28, 11,964 and 7,129.28 is: 10,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.28 : 11,964 = 7,129.28 : x
  2. Step 2: Convert to fraction form
    7,993.28/11,964 = 7,129.28/x
  3. Step 3: Cross multiply
    7,993.28x = 11,964 × 7,129.28
  4. Step 4: Simplify right side
    7,993.28x = 85,294,705.92
  5. Step 5: Solve for x
    x = 85,294,705.92/7,993.28
  6. Step 6: Final answer
    x = 10,670.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.