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Finding the Fourth Proportional to 27,683, 38,202.96 and 15,107.78

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Solution

The fourth proportional to 27,683, 38,202.96 and 15,107.78 is: 20,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683 : 38,202.96 = 15,107.78 : x
  2. Step 2: Convert to fraction form
    27,683/38,202.96 = 15,107.78/x
  3. Step 3: Cross multiply
    27,683x = 38,202.96 × 15,107.78
  4. Step 4: Simplify right side
    27,683x = 577,161,915.03
  5. Step 5: Solve for x
    x = 577,161,915.03/27,683
  6. Step 6: Final answer
    x = 20,848.97

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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.