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Finding the Fourth Proportional to 9,687.09, 13,381.17 and 7,806

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Solution

The fourth proportional to 9,687.09, 13,381.17 and 7,806 is: 10,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.09 : 13,381.17 = 7,806 : x
  2. Step 2: Convert to fraction form
    9,687.09/13,381.17 = 7,806/x
  3. Step 3: Cross multiply
    9,687.09x = 13,381.17 × 7,806
  4. Step 4: Simplify right side
    9,687.09x = 104,453,413.02
  5. Step 5: Solve for x
    x = 104,453,413.02/9,687.09
  6. Step 6: Final answer
    x = 10,782.74

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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.