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Finding the Fourth Proportional to 27,842.70, 38,209.89 and 27,645.87

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Solution

The fourth proportional to 27,842.70, 38,209.89 and 27,645.87 is: 37,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.70 : 38,209.89 = 27,645.87 : x
  2. Step 2: Convert to fraction form
    27,842.70/38,209.89 = 27,645.87/x
  3. Step 3: Cross multiply
    27,842.70x = 38,209.89 × 27,645.87
  4. Step 4: Simplify right side
    27,842.70x = 1,056,345,651.65
  5. Step 5: Solve for x
    x = 1,056,345,651.65/27,842.70
  6. Step 6: Final answer
    x = 37,939.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.