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Finding the Fourth Proportional to 10,771.52, 14,872.02 and 7,939.22

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Solution

The fourth proportional to 10,771.52, 14,872.02 and 7,939.22 is: 10,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.52 : 14,872.02 = 7,939.22 : x
  2. Step 2: Convert to fraction form
    10,771.52/14,872.02 = 7,939.22/x
  3. Step 3: Cross multiply
    10,771.52x = 14,872.02 × 7,939.22
  4. Step 4: Simplify right side
    10,771.52x = 118,072,238.62
  5. Step 5: Solve for x
    x = 118,072,238.62/10,771.52
  6. Step 6: Final answer
    x = 10,961.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.