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Finding the Fourth Proportional to 13,491.88, 20,235.90 and 6,104.68

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Solution

The fourth proportional to 13,491.88, 20,235.90 and 6,104.68 is: 9,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.88 : 20,235.90 = 6,104.68 : x
  2. Step 2: Convert to fraction form
    13,491.88/20,235.90 = 6,104.68/x
  3. Step 3: Cross multiply
    13,491.88x = 20,235.90 × 6,104.68
  4. Step 4: Simplify right side
    13,491.88x = 123,533,694.01
  5. Step 5: Solve for x
    x = 123,533,694.01/13,491.88
  6. Step 6: Final answer
    x = 9,156.15

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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.