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Finding the Fourth Proportional to 13,678.98, 20,500.65 and 6,176.97

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Solution

The fourth proportional to 13,678.98, 20,500.65 and 6,176.97 is: 9,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.98 : 20,500.65 = 6,176.97 : x
  2. Step 2: Convert to fraction form
    13,678.98/20,500.65 = 6,176.97/x
  3. Step 3: Cross multiply
    13,678.98x = 20,500.65 × 6,176.97
  4. Step 4: Simplify right side
    13,678.98x = 126,631,900.03
  5. Step 5: Solve for x
    x = 126,631,900.03/13,678.98
  6. Step 6: Final answer
    x = 9,257.41

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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.