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Finding the Fourth Proportional to 9,576, 14,364 and 2,650.50

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Solution

The fourth proportional to 9,576, 14,364 and 2,650.50 is: 3,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,364 = 2,650.50 : x
  2. Step 2: Convert to fraction form
    9,576/14,364 = 2,650.50/x
  3. Step 3: Cross multiply
    9,576x = 14,364 × 2,650.50
  4. Step 4: Simplify right side
    9,576x = 38,071,782
  5. Step 5: Solve for x
    x = 38,071,782/9,576
  6. Step 6: Final answer
    x = 3,975.75

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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.