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Finding the Fourth Proportional to 27,902.70, 41,858.10 and 13,112.10

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Solution

The fourth proportional to 27,902.70, 41,858.10 and 13,112.10 is: 19,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.70 : 41,858.10 = 13,112.10 : x
  2. Step 2: Convert to fraction form
    27,902.70/41,858.10 = 13,112.10/x
  3. Step 3: Cross multiply
    27,902.70x = 41,858.10 × 13,112.10
  4. Step 4: Simplify right side
    27,902.70x = 548,847,593.01
  5. Step 5: Solve for x
    x = 548,847,593.01/27,902.70
  6. Step 6: Final answer
    x = 19,670.05

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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.