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Finding the Fourth Proportional to 21,752.83, 30,021 and 12,194.35

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Solution

The fourth proportional to 21,752.83, 30,021 and 12,194.35 is: 16,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.83 : 30,021 = 12,194.35 : x
  2. Step 2: Convert to fraction form
    21,752.83/30,021 = 12,194.35/x
  3. Step 3: Cross multiply
    21,752.83x = 30,021 × 12,194.35
  4. Step 4: Simplify right side
    21,752.83x = 366,086,581.35
  5. Step 5: Solve for x
    x = 366,086,581.35/21,752.83
  6. Step 6: Final answer
    x = 16,829.38

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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.