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Finding the Fourth Proportional to 27,691.04, 38,213.04 and 15,116

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Solution

The fourth proportional to 27,691.04, 38,213.04 and 15,116 is: 20,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.04 : 38,213.04 = 15,116 : x
  2. Step 2: Convert to fraction form
    27,691.04/38,213.04 = 15,116/x
  3. Step 3: Cross multiply
    27,691.04x = 38,213.04 × 15,116
  4. Step 4: Simplify right side
    27,691.04x = 577,628,312.64
  5. Step 5: Solve for x
    x = 577,628,312.64/27,691.04
  6. Step 6: Final answer
    x = 20,859.76

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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.