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Finding the Fourth Proportional to 27,684, 38,204.34 and 15,108.78

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Solution

The fourth proportional to 27,684, 38,204.34 and 15,108.78 is: 20,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 38,204.34 = 15,108.78 : x
  2. Step 2: Convert to fraction form
    27,684/38,204.34 = 15,108.78/x
  3. Step 3: Cross multiply
    27,684x = 38,204.34 × 15,108.78
  4. Step 4: Simplify right side
    27,684x = 577,220,968.11
  5. Step 5: Solve for x
    x = 577,220,968.11/27,684
  6. Step 6: Final answer
    x = 20,850.35

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Double 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.