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Finding the Fourth Proportional to 25,729, 38,593.50 and 7,261

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Solution

The fourth proportional to 25,729, 38,593.50 and 7,261 is: 10,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729 : 38,593.50 = 7,261 : x
  2. Step 2: Convert to fraction form
    25,729/38,593.50 = 7,261/x
  3. Step 3: Cross multiply
    25,729x = 38,593.50 × 7,261
  4. Step 4: Simplify right side
    25,729x = 280,227,403.50
  5. Step 5: Solve for x
    x = 280,227,403.50/25,729
  6. Step 6: Final answer
    x = 10,891.50

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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.