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Finding the Fourth Proportional to 17,677.56, 26,472.54 and 12,986.40

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Solution

The fourth proportional to 17,677.56, 26,472.54 and 12,986.40 is: 19,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.56 : 26,472.54 = 12,986.40 : x
  2. Step 2: Convert to fraction form
    17,677.56/26,472.54 = 12,986.40/x
  3. Step 3: Cross multiply
    17,677.56x = 26,472.54 × 12,986.40
  4. Step 4: Simplify right side
    17,677.56x = 343,782,993.46
  5. Step 5: Solve for x
    x = 343,782,993.46/17,677.56
  6. Step 6: Final answer
    x = 19,447.42

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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.