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Finding the Fourth Proportional to 13,661.69, 20,491.57 and 4,896.88

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Solution

The fourth proportional to 13,661.69, 20,491.57 and 4,896.88 is: 7,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.69 : 20,491.57 = 4,896.88 : x
  2. Step 2: Convert to fraction form
    13,661.69/20,491.57 = 4,896.88/x
  3. Step 3: Cross multiply
    13,661.69x = 20,491.57 × 4,896.88
  4. Step 4: Simplify right side
    13,661.69x = 100,344,714.19
  5. Step 5: Solve for x
    x = 100,344,714.19/13,661.69
  6. Step 6: Final answer
    x = 7,344.97

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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.