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Finding the Fourth Proportional to 13,732.80, 18,943.92 and 8,356.86

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Solution

The fourth proportional to 13,732.80, 18,943.92 and 8,356.86 is: 11,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.80 : 18,943.92 = 8,356.86 : x
  2. Step 2: Convert to fraction form
    13,732.80/18,943.92 = 8,356.86/x
  3. Step 3: Cross multiply
    13,732.80x = 18,943.92 × 8,356.86
  4. Step 4: Simplify right side
    13,732.80x = 158,311,687.29
  5. Step 5: Solve for x
    x = 158,311,687.29/13,732.80
  6. Step 6: Final answer
    x = 11,528.00

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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.