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Finding the Fourth Proportional to 21,842.39, 30,142.50 and 11,906.39

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Solution

The fourth proportional to 21,842.39, 30,142.50 and 11,906.39 is: 16,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.39 : 30,142.50 = 11,906.39 : x
  2. Step 2: Convert to fraction form
    21,842.39/30,142.50 = 11,906.39/x
  3. Step 3: Cross multiply
    21,842.39x = 30,142.50 × 11,906.39
  4. Step 4: Simplify right side
    21,842.39x = 358,888,360.58
  5. Step 5: Solve for x
    x = 358,888,360.58/21,842.39
  6. Step 6: Final answer
    x = 16,430.82

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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.