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Finding the Fourth Proportional to 9,601.50, 14,402.25 and 2,676

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Solution

The fourth proportional to 9,601.50, 14,402.25 and 2,676 is: 4,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.50 : 14,402.25 = 2,676 : x
  2. Step 2: Convert to fraction form
    9,601.50/14,402.25 = 2,676/x
  3. Step 3: Cross multiply
    9,601.50x = 14,402.25 × 2,676
  4. Step 4: Simplify right side
    9,601.50x = 38,540,421
  5. Step 5: Solve for x
    x = 38,540,421/9,601.50
  6. Step 6: Final answer
    x = 4,014

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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.