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Finding the Fourth Proportional to 13,816.68, 20,713.74 and 6,425.76

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Solution

The fourth proportional to 13,816.68, 20,713.74 and 6,425.76 is: 9,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.68 : 20,713.74 = 6,425.76 : x
  2. Step 2: Convert to fraction form
    13,816.68/20,713.74 = 6,425.76/x
  3. Step 3: Cross multiply
    13,816.68x = 20,713.74 × 6,425.76
  4. Step 4: Simplify right side
    13,816.68x = 133,101,521.94
  5. Step 5: Solve for x
    x = 133,101,521.94/13,816.68
  6. Step 6: Final answer
    x = 9,633.39

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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.