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Finding the Fourth Proportional to 13,992.62, 19,309.76 and 7,704.98

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Solution

The fourth proportional to 13,992.62, 19,309.76 and 7,704.98 is: 10,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.62 : 19,309.76 = 7,704.98 : x
  2. Step 2: Convert to fraction form
    13,992.62/19,309.76 = 7,704.98/x
  3. Step 3: Cross multiply
    13,992.62x = 19,309.76 × 7,704.98
  4. Step 4: Simplify right side
    13,992.62x = 148,781,314.60
  5. Step 5: Solve for x
    x = 148,781,314.60/13,992.62
  6. Step 6: Final answer
    x = 10,632.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.