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Finding the Fourth Proportional to 13,992, 19,316.96 and 9,282.72

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Solution

The fourth proportional to 13,992, 19,316.96 and 9,282.72 is: 12,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 19,316.96 = 9,282.72 : x
  2. Step 2: Convert to fraction form
    13,992/19,316.96 = 9,282.72/x
  3. Step 3: Cross multiply
    13,992x = 19,316.96 × 9,282.72
  4. Step 4: Simplify right side
    13,992x = 179,313,930.93
  5. Step 5: Solve for x
    x = 179,313,930.93/13,992
  6. Step 6: Final answer
    x = 12,815.46

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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.