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Finding the Fourth Proportional to 7,643.84, 11,467.76 and 2,647.25

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Solution

The fourth proportional to 7,643.84, 11,467.76 and 2,647.25 is: 3,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.84 : 11,467.76 = 2,647.25 : x
  2. Step 2: Convert to fraction form
    7,643.84/11,467.76 = 2,647.25/x
  3. Step 3: Cross multiply
    7,643.84x = 11,467.76 × 2,647.25
  4. Step 4: Simplify right side
    7,643.84x = 30,358,043.09
  5. Step 5: Solve for x
    x = 30,358,043.09/7,643.84
  6. Step 6: Final answer
    x = 3,971.57

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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.