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Finding the Fourth Proportional to 31,193.92, 42,939.12 and 27,208.09

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Solution

The fourth proportional to 31,193.92, 42,939.12 and 27,208.09 is: 37,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.92 : 42,939.12 = 27,208.09 : x
  2. Step 2: Convert to fraction form
    31,193.92/42,939.12 = 27,208.09/x
  3. Step 3: Cross multiply
    31,193.92x = 42,939.12 × 27,208.09
  4. Step 4: Simplify right side
    31,193.92x = 1,168,291,441.48
  5. Step 5: Solve for x
    x = 1,168,291,441.48/31,193.92
  6. Step 6: Final answer
    x = 37,452.54

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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.