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Finding the Fourth Proportional to 11,763, 17,643.82 and 8,603.68

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Solution

The fourth proportional to 11,763, 17,643.82 and 8,603.68 is: 12,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 17,643.82 = 8,603.68 : x
  2. Step 2: Convert to fraction form
    11,763/17,643.82 = 8,603.68/x
  3. Step 3: Cross multiply
    11,763x = 17,643.82 × 8,603.68
  4. Step 4: Simplify right side
    11,763x = 151,801,781.26
  5. Step 5: Solve for x
    x = 151,801,781.26/11,763
  6. Step 6: Final answer
    x = 12,905.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.