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Finding the Fourth Proportional to 8,355.89, 11,524.59 and 5,372

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Solution

The fourth proportional to 8,355.89, 11,524.59 and 5,372 is: 7,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.89 : 11,524.59 = 5,372 : x
  2. Step 2: Convert to fraction form
    8,355.89/11,524.59 = 5,372/x
  3. Step 3: Cross multiply
    8,355.89x = 11,524.59 × 5,372
  4. Step 4: Simplify right side
    8,355.89x = 61,910,097.48
  5. Step 5: Solve for x
    x = 61,910,097.48/8,355.89
  6. Step 6: Final answer
    x = 7,409.16

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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.