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Finding the Fourth Proportional to 6,634.98, 9,954.64 and 3,172.50

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Solution

The fourth proportional to 6,634.98, 9,954.64 and 3,172.50 is: 4,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.98 : 9,954.64 = 3,172.50 : x
  2. Step 2: Convert to fraction form
    6,634.98/9,954.64 = 3,172.50/x
  3. Step 3: Cross multiply
    6,634.98x = 9,954.64 × 3,172.50
  4. Step 4: Simplify right side
    6,634.98x = 31,581,095.40
  5. Step 5: Solve for x
    x = 31,581,095.40/6,634.98
  6. Step 6: Final answer
    x = 4,759.79

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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.