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Finding the Fourth Proportional to 9,625.50, 14,438.25 and 3,469.50

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Solution

The fourth proportional to 9,625.50, 14,438.25 and 3,469.50 is: 5,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.50 : 14,438.25 = 3,469.50 : x
  2. Step 2: Convert to fraction form
    9,625.50/14,438.25 = 3,469.50/x
  3. Step 3: Cross multiply
    9,625.50x = 14,438.25 × 3,469.50
  4. Step 4: Simplify right side
    9,625.50x = 50,093,508.38
  5. Step 5: Solve for x
    x = 50,093,508.38/9,625.50
  6. Step 6: Final answer
    x = 5,204.25

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1.5x scale

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.