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Finding the Fourth Proportional to 8,245.17, 11,372.04 and 7,097.31

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Solution

The fourth proportional to 8,245.17, 11,372.04 and 7,097.31 is: 9,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.17 : 11,372.04 = 7,097.31 : x
  2. Step 2: Convert to fraction form
    8,245.17/11,372.04 = 7,097.31/x
  3. Step 3: Cross multiply
    8,245.17x = 11,372.04 × 7,097.31
  4. Step 4: Simplify right side
    8,245.17x = 80,710,893.21
  5. Step 5: Solve for x
    x = 80,710,893.21/8,245.17
  6. Step 6: Final answer
    x = 9,788.87

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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.