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Finding the Fourth Proportional to 7,729, 11,593.50 and 3,625

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Solution

The fourth proportional to 7,729, 11,593.50 and 3,625 is: 5,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 11,593.50 = 3,625 : x
  2. Step 2: Convert to fraction form
    7,729/11,593.50 = 3,625/x
  3. Step 3: Cross multiply
    7,729x = 11,593.50 × 3,625
  4. Step 4: Simplify right side
    7,729x = 42,026,437.50
  5. Step 5: Solve for x
    x = 42,026,437.50/7,729
  6. Step 6: Final answer
    x = 5,437.50

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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.