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Finding the Fourth Proportional to 27,231, 37,576.98 and 15,131.40

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Solution

The fourth proportional to 27,231, 37,576.98 and 15,131.40 is: 20,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 37,576.98 = 15,131.40 : x
  2. Step 2: Convert to fraction form
    27,231/37,576.98 = 15,131.40/x
  3. Step 3: Cross multiply
    27,231x = 37,576.98 × 15,131.40
  4. Step 4: Simplify right side
    27,231x = 568,592,315.17
  5. Step 5: Solve for x
    x = 568,592,315.17/27,231
  6. Step 6: Final answer
    x = 20,880.33

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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.