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Finding the Fourth Proportional to 7,728.72, 11,593.44 and 3,830.64

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Solution

The fourth proportional to 7,728.72, 11,593.44 and 3,830.64 is: 5,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.72 : 11,593.44 = 3,830.64 : x
  2. Step 2: Convert to fraction form
    7,728.72/11,593.44 = 3,830.64/x
  3. Step 3: Cross multiply
    7,728.72x = 11,593.44 × 3,830.64
  4. Step 4: Simplify right side
    7,728.72x = 44,410,295.00
  5. Step 5: Solve for x
    x = 44,410,295.00/7,728.72
  6. Step 6: Final answer
    x = 5,746.14

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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.