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Finding the Fourth Proportional to 9,935, 14,902.50 and 2,639

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Solution

The fourth proportional to 9,935, 14,902.50 and 2,639 is: 3,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 14,902.50 = 2,639 : x
  2. Step 2: Convert to fraction form
    9,935/14,902.50 = 2,639/x
  3. Step 3: Cross multiply
    9,935x = 14,902.50 × 2,639
  4. Step 4: Simplify right side
    9,935x = 39,327,697.50
  5. Step 5: Solve for x
    x = 39,327,697.50/9,935
  6. Step 6: Final answer
    x = 3,958.50

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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.