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Finding the Fourth Proportional to 27,732, 38,270.52 and 15,157.02

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Solution

The fourth proportional to 27,732, 38,270.52 and 15,157.02 is: 20,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 38,270.52 = 15,157.02 : x
  2. Step 2: Convert to fraction form
    27,732/38,270.52 = 15,157.02/x
  3. Step 3: Cross multiply
    27,732x = 38,270.52 × 15,157.02
  4. Step 4: Simplify right side
    27,732x = 580,067,037.05
  5. Step 5: Solve for x
    x = 580,067,037.05/27,732
  6. Step 6: Final answer
    x = 20,916.88

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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.