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Finding the Fourth Proportional to 10,775.40, 16,163.10 and 9,738.60

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Solution

The fourth proportional to 10,775.40, 16,163.10 and 9,738.60 is: 14,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.40 : 16,163.10 = 9,738.60 : x
  2. Step 2: Convert to fraction form
    10,775.40/16,163.10 = 9,738.60/x
  3. Step 3: Cross multiply
    10,775.40x = 16,163.10 × 9,738.60
  4. Step 4: Simplify right side
    10,775.40x = 157,405,965.66
  5. Step 5: Solve for x
    x = 157,405,965.66/10,775.40
  6. Step 6: Final answer
    x = 14,607.90

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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.