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Finding the Fourth Proportional to 27,271, 37,627.50 and 15,331.96

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Solution

The fourth proportional to 27,271, 37,627.50 and 15,331.96 is: 21,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271 : 37,627.50 = 15,331.96 : x
  2. Step 2: Convert to fraction form
    27,271/37,627.50 = 15,331.96/x
  3. Step 3: Cross multiply
    27,271x = 37,627.50 × 15,331.96
  4. Step 4: Simplify right side
    27,271x = 576,903,324.90
  5. Step 5: Solve for x
    x = 576,903,324.90/27,271
  6. Step 6: Final answer
    x = 21,154.46

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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.