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Finding the Fourth Proportional to 27,735.66, 38,275.23 and 15,160.41

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Solution

The fourth proportional to 27,735.66, 38,275.23 and 15,160.41 is: 20,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.66 : 38,275.23 = 15,160.41 : x
  2. Step 2: Convert to fraction form
    27,735.66/38,275.23 = 15,160.41/x
  3. Step 3: Cross multiply
    27,735.66x = 38,275.23 × 15,160.41
  4. Step 4: Simplify right side
    27,735.66x = 580,268,179.64
  5. Step 5: Solve for x
    x = 580,268,179.64/27,735.66
  6. Step 6: Final answer
    x = 20,921.38

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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.