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Finding the Fourth Proportional to 10,750.40, 16,122.40 and 4,172.80

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Solution

The fourth proportional to 10,750.40, 16,122.40 and 4,172.80 is: 6,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.40 : 16,122.40 = 4,172.80 : x
  2. Step 2: Convert to fraction form
    10,750.40/16,122.40 = 4,172.80/x
  3. Step 3: Cross multiply
    10,750.40x = 16,122.40 × 4,172.80
  4. Step 4: Simplify right side
    10,750.40x = 67,275,550.72
  5. Step 5: Solve for x
    x = 67,275,550.72/10,750.40
  6. Step 6: Final answer
    x = 6,257.96

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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.