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Finding the Fourth Proportional to 13,171.76, 19,758 and 4,406.36

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Solution

The fourth proportional to 13,171.76, 19,758 and 4,406.36 is: 6,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.76 : 19,758 = 4,406.36 : x
  2. Step 2: Convert to fraction form
    13,171.76/19,758 = 4,406.36/x
  3. Step 3: Cross multiply
    13,171.76x = 19,758 × 4,406.36
  4. Step 4: Simplify right side
    13,171.76x = 87,060,860.88
  5. Step 5: Solve for x
    x = 87,060,860.88/13,171.76
  6. Step 6: Final answer
    x = 6,609.66

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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.