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Finding the Fourth Proportional to 13,616.94, 20,410.98 and 7,761

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Solution

The fourth proportional to 13,616.94, 20,410.98 and 7,761 is: 11,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.94 : 20,410.98 = 7,761 : x
  2. Step 2: Convert to fraction form
    13,616.94/20,410.98 = 7,761/x
  3. Step 3: Cross multiply
    13,616.94x = 20,410.98 × 7,761
  4. Step 4: Simplify right side
    13,616.94x = 158,409,615.78
  5. Step 5: Solve for x
    x = 158,409,615.78/13,616.94
  6. Step 6: Final answer
    x = 11,633.28

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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.