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Finding the Fourth Proportional to 33,114.40, 49,658.40 and 10,921.60

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Solution

The fourth proportional to 33,114.40, 49,658.40 and 10,921.60 is: 16,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.40 : 49,658.40 = 10,921.60 : x
  2. Step 2: Convert to fraction form
    33,114.40/49,658.40 = 10,921.60/x
  3. Step 3: Cross multiply
    33,114.40x = 49,658.40 × 10,921.60
  4. Step 4: Simplify right side
    33,114.40x = 542,349,181.44
  5. Step 5: Solve for x
    x = 542,349,181.44/33,114.40
  6. Step 6: Final answer
    x = 16,378.05

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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.