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Finding the Fourth Proportional to 9,410.50, 14,122.23 and 3,254.50

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Solution

The fourth proportional to 9,410.50, 14,122.23 and 3,254.50 is: 4,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.50 : 14,122.23 = 3,254.50 : x
  2. Step 2: Convert to fraction form
    9,410.50/14,122.23 = 3,254.50/x
  3. Step 3: Cross multiply
    9,410.50x = 14,122.23 × 3,254.50
  4. Step 4: Simplify right side
    9,410.50x = 45,960,797.54
  5. Step 5: Solve for x
    x = 45,960,797.54/9,410.50
  6. Step 6: Final answer
    x = 4,883.99

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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.