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Finding the Fourth Proportional to 27,666.69, 38,178.72 and 15,728.72

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Solution

The fourth proportional to 27,666.69, 38,178.72 and 15,728.72 is: 21,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.69 : 38,178.72 = 15,728.72 : x
  2. Step 2: Convert to fraction form
    27,666.69/38,178.72 = 15,728.72/x
  3. Step 3: Cross multiply
    27,666.69x = 38,178.72 × 15,728.72
  4. Step 4: Simplify right side
    27,666.69x = 600,502,205.94
  5. Step 5: Solve for x
    x = 600,502,205.94/27,666.69
  6. Step 6: Final answer
    x = 21,704.88

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Half scale
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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.