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Finding the Fourth Proportional to 33,278.90, 49,893.71 and 15,728.22

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Solution

The fourth proportional to 33,278.90, 49,893.71 and 15,728.22 is: 23,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,278.90 : 49,893.71 = 15,728.22 : x
  2. Step 2: Convert to fraction form
    33,278.90/49,893.71 = 15,728.22/x
  3. Step 3: Cross multiply
    33,278.90x = 49,893.71 × 15,728.22
  4. Step 4: Simplify right side
    33,278.90x = 784,739,168.86
  5. Step 5: Solve for x
    x = 784,739,168.86/33,278.90
  6. Step 6: Final answer
    x = 23,580.69

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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.