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Finding the Fourth Proportional to 17,708.10, 26,549.85 and 7,842

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Solution

The fourth proportional to 17,708.10, 26,549.85 and 7,842 is: 11,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.10 : 26,549.85 = 7,842 : x
  2. Step 2: Convert to fraction form
    17,708.10/26,549.85 = 7,842/x
  3. Step 3: Cross multiply
    17,708.10x = 26,549.85 × 7,842
  4. Step 4: Simplify right side
    17,708.10x = 208,203,923.70
  5. Step 5: Solve for x
    x = 208,203,923.70/17,708.10
  6. Step 6: Final answer
    x = 11,757.55

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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.