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Finding the Fourth Proportional to 12,761.65, 17,606.85 and 7,723.96

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Solution

The fourth proportional to 12,761.65, 17,606.85 and 7,723.96 is: 10,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.65 : 17,606.85 = 7,723.96 : x
  2. Step 2: Convert to fraction form
    12,761.65/17,606.85 = 7,723.96/x
  3. Step 3: Cross multiply
    12,761.65x = 17,606.85 × 7,723.96
  4. Step 4: Simplify right side
    12,761.65x = 135,994,605.13
  5. Step 5: Solve for x
    x = 135,994,605.13/12,761.65
  6. Step 6: Final answer
    x = 10,656.51

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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.