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Finding the Fourth Proportional to 27,912.34, 38,519.40 and 15,337

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Solution

The fourth proportional to 27,912.34, 38,519.40 and 15,337 is: 21,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.34 : 38,519.40 = 15,337 : x
  2. Step 2: Convert to fraction form
    27,912.34/38,519.40 = 15,337/x
  3. Step 3: Cross multiply
    27,912.34x = 38,519.40 × 15,337
  4. Step 4: Simplify right side
    27,912.34x = 590,772,037.80
  5. Step 5: Solve for x
    x = 590,772,037.80/27,912.34
  6. Step 6: Final answer
    x = 21,165.26

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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.