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Finding the Fourth Proportional to 7,185.16, 9,912.38 and 4,389

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Solution

The fourth proportional to 7,185.16, 9,912.38 and 4,389 is: 6,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.16 : 9,912.38 = 4,389 : x
  2. Step 2: Convert to fraction form
    7,185.16/9,912.38 = 4,389/x
  3. Step 3: Cross multiply
    7,185.16x = 9,912.38 × 4,389
  4. Step 4: Simplify right side
    7,185.16x = 43,505,435.82
  5. Step 5: Solve for x
    x = 43,505,435.82/7,185.16
  6. Step 6: Final answer
    x = 6,054.90

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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.