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Finding the Fourth Proportional to 17,842.82, 26,772.51 and 7,988.76

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Solution

The fourth proportional to 17,842.82, 26,772.51 and 7,988.76 is: 11,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.82 : 26,772.51 = 7,988.76 : x
  2. Step 2: Convert to fraction form
    17,842.82/26,772.51 = 7,988.76/x
  3. Step 3: Cross multiply
    17,842.82x = 26,772.51 × 7,988.76
  4. Step 4: Simplify right side
    17,842.82x = 213,879,156.99
  5. Step 5: Solve for x
    x = 213,879,156.99/17,842.82
  6. Step 6: Final answer
    x = 11,986.85

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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.