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Finding the Fourth Proportional to 27,789, 38,348.82 and 15,213.78

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Solution

The fourth proportional to 27,789, 38,348.82 and 15,213.78 is: 20,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789 : 38,348.82 = 15,213.78 : x
  2. Step 2: Convert to fraction form
    27,789/38,348.82 = 15,213.78/x
  3. Step 3: Cross multiply
    27,789x = 38,348.82 × 15,213.78
  4. Step 4: Simplify right side
    27,789x = 583,430,510.74
  5. Step 5: Solve for x
    x = 583,430,510.74/27,789
  6. Step 6: Final answer
    x = 20,995.02

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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.