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Finding the Fourth Proportional to 13,873.97, 20,825.00 and 12,302.78

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Solution

The fourth proportional to 13,873.97, 20,825.00 and 12,302.78 is: 18,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.97 : 20,825.00 = 12,302.78 : x
  2. Step 2: Convert to fraction form
    13,873.97/20,825.00 = 12,302.78/x
  3. Step 3: Cross multiply
    13,873.97x = 20,825.00 × 12,302.78
  4. Step 4: Simplify right side
    13,873.97x = 256,205,227.86
  5. Step 5: Solve for x
    x = 256,205,227.86/13,873.97
  6. Step 6: Final answer
    x = 18,466.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.