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Finding the Fourth Proportional to 27,677.69, 38,195.01 and 15,741.01

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Solution

The fourth proportional to 27,677.69, 38,195.01 and 15,741.01 is: 21,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.69 : 38,195.01 = 15,741.01 : x
  2. Step 2: Convert to fraction form
    27,677.69/38,195.01 = 15,741.01/x
  3. Step 3: Cross multiply
    27,677.69x = 38,195.01 × 15,741.01
  4. Step 4: Simplify right side
    27,677.69x = 601,228,034.36
  5. Step 5: Solve for x
    x = 601,228,034.36/27,677.69
  6. Step 6: Final answer
    x = 21,722.48

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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.