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Finding the Fourth Proportional to 12,859.79, 17,741.30 and 8,381.97

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Solution

The fourth proportional to 12,859.79, 17,741.30 and 8,381.97 is: 11,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.79 : 17,741.30 = 8,381.97 : x
  2. Step 2: Convert to fraction form
    12,859.79/17,741.30 = 8,381.97/x
  3. Step 3: Cross multiply
    12,859.79x = 17,741.30 × 8,381.97
  4. Step 4: Simplify right side
    12,859.79x = 148,707,002.45
  5. Step 5: Solve for x
    x = 148,707,002.45/12,859.79
  6. Step 6: Final answer
    x = 11,563.72

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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.