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Finding the Fourth Proportional to 12,932, 17,845.32 and 7,625.60

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Solution

The fourth proportional to 12,932, 17,845.32 and 7,625.60 is: 10,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932 : 17,845.32 = 7,625.60 : x
  2. Step 2: Convert to fraction form
    12,932/17,845.32 = 7,625.60/x
  3. Step 3: Cross multiply
    12,932x = 17,845.32 × 7,625.60
  4. Step 4: Simplify right side
    12,932x = 136,081,272.19
  5. Step 5: Solve for x
    x = 136,081,272.19/12,932
  6. Step 6: Final answer
    x = 10,522.83

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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.