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Finding the Fourth Proportional to 12,757.77, 17,606.93 and 7,723.25

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Solution

The fourth proportional to 12,757.77, 17,606.93 and 7,723.25 is: 10,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.77 : 17,606.93 = 7,723.25 : x
  2. Step 2: Convert to fraction form
    12,757.77/17,606.93 = 7,723.25/x
  3. Step 3: Cross multiply
    12,757.77x = 17,606.93 × 7,723.25
  4. Step 4: Simplify right side
    12,757.77x = 135,982,722.12
  5. Step 5: Solve for x
    x = 135,982,722.12/12,757.77
  6. Step 6: Final answer
    x = 10,658.82

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1.5x scale

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.