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Finding the Fourth Proportional to 11,755.96, 17,640 and 7,809.94

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Solution

The fourth proportional to 11,755.96, 17,640 and 7,809.94 is: 11,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.96 : 17,640 = 7,809.94 : x
  2. Step 2: Convert to fraction form
    11,755.96/17,640 = 7,809.94/x
  3. Step 3: Cross multiply
    11,755.96x = 17,640 × 7,809.94
  4. Step 4: Simplify right side
    11,755.96x = 137,767,341.60
  5. Step 5: Solve for x
    x = 137,767,341.60/11,755.96
  6. Step 6: Final answer
    x = 11,718.94

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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.