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Finding the Fourth Proportional to 21,894.24, 30,214.80 and 11,958.24

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Solution

The fourth proportional to 21,894.24, 30,214.80 and 11,958.24 is: 16,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.24 : 30,214.80 = 11,958.24 : x
  2. Step 2: Convert to fraction form
    21,894.24/30,214.80 = 11,958.24/x
  3. Step 3: Cross multiply
    21,894.24x = 30,214.80 × 11,958.24
  4. Step 4: Simplify right side
    21,894.24x = 361,315,829.95
  5. Step 5: Solve for x
    x = 361,315,829.95/21,894.24
  6. Step 6: Final answer
    x = 16,502.78

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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.