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Finding the Fourth Proportional to 14,757.60, 20,382 and 11,440.56

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Solution

The fourth proportional to 14,757.60, 20,382 and 11,440.56 is: 15,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.60 : 20,382 = 11,440.56 : x
  2. Step 2: Convert to fraction form
    14,757.60/20,382 = 11,440.56/x
  3. Step 3: Cross multiply
    14,757.60x = 20,382 × 11,440.56
  4. Step 4: Simplify right side
    14,757.60x = 233,181,493.92
  5. Step 5: Solve for x
    x = 233,181,493.92/14,757.60
  6. Step 6: Final answer
    x = 15,800.77

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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.