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Finding the Fourth Proportional to 9,992.59, 13,809.55 and 8,197.19

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Solution

The fourth proportional to 9,992.59, 13,809.55 and 8,197.19 is: 11,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.59 : 13,809.55 = 8,197.19 : x
  2. Step 2: Convert to fraction form
    9,992.59/13,809.55 = 8,197.19/x
  3. Step 3: Cross multiply
    9,992.59x = 13,809.55 × 8,197.19
  4. Step 4: Simplify right side
    9,992.59x = 113,199,505.16
  5. Step 5: Solve for x
    x = 113,199,505.16/9,992.59
  6. Step 6: Final answer
    x = 11,328.34

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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.