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Finding the Fourth Proportional to 7,728, 11,585.08 and 2,796.48

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Solution

The fourth proportional to 7,728, 11,585.08 and 2,796.48 is: 4,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 11,585.08 = 2,796.48 : x
  2. Step 2: Convert to fraction form
    7,728/11,585.08 = 2,796.48/x
  3. Step 3: Cross multiply
    7,728x = 11,585.08 × 2,796.48
  4. Step 4: Simplify right side
    7,728x = 32,397,444.52
  5. Step 5: Solve for x
    x = 32,397,444.52/7,728
  6. Step 6: Final answer
    x = 4,192.22

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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.