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Finding the Fourth Proportional to 7,713, 11,571.54 and 4,427.25

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Solution

The fourth proportional to 7,713, 11,571.54 and 4,427.25 is: 6,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 11,571.54 = 4,427.25 : x
  2. Step 2: Convert to fraction form
    7,713/11,571.54 = 4,427.25/x
  3. Step 3: Cross multiply
    7,713x = 11,571.54 × 4,427.25
  4. Step 4: Simplify right side
    7,713x = 51,230,100.47
  5. Step 5: Solve for x
    x = 51,230,100.47/7,713
  6. Step 6: Final answer
    x = 6,642.05

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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.