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Finding the Fourth Proportional to 20,124.56, 27,766.24 and 12,578.56

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Solution

The fourth proportional to 20,124.56, 27,766.24 and 12,578.56 is: 17,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.56 : 27,766.24 = 12,578.56 : x
  2. Step 2: Convert to fraction form
    20,124.56/27,766.24 = 12,578.56/x
  3. Step 3: Cross multiply
    20,124.56x = 27,766.24 × 12,578.56
  4. Step 4: Simplify right side
    20,124.56x = 349,259,315.81
  5. Step 5: Solve for x
    x = 349,259,315.81/20,124.56
  6. Step 6: Final answer
    x = 17,354.88

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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.