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Finding the Fourth Proportional to 11,768.52, 17,640.48 and 8,643.88

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Solution

The fourth proportional to 11,768.52, 17,640.48 and 8,643.88 is: 12,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.52 : 17,640.48 = 8,643.88 : x
  2. Step 2: Convert to fraction form
    11,768.52/17,640.48 = 8,643.88/x
  3. Step 3: Cross multiply
    11,768.52x = 17,640.48 × 8,643.88
  4. Step 4: Simplify right side
    11,768.52x = 152,482,192.26
  5. Step 5: Solve for x
    x = 152,482,192.26/11,768.52
  6. Step 6: Final answer
    x = 12,956.79

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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.