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Finding the Fourth Proportional to 8,497.78, 11,697.82 and 7,372.09

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Solution

The fourth proportional to 8,497.78, 11,697.82 and 7,372.09 is: 10,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.78 : 11,697.82 = 7,372.09 : x
  2. Step 2: Convert to fraction form
    8,497.78/11,697.82 = 7,372.09/x
  3. Step 3: Cross multiply
    8,497.78x = 11,697.82 × 7,372.09
  4. Step 4: Simplify right side
    8,497.78x = 86,237,381.84
  5. Step 5: Solve for x
    x = 86,237,381.84/8,497.78
  6. Step 6: Final answer
    x = 10,148.22

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1.5x scale

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.