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Finding the Fourth Proportional to 17,851.10, 26,765.84 and 7,988.54

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Solution

The fourth proportional to 17,851.10, 26,765.84 and 7,988.54 is: 11,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.10 : 26,765.84 = 7,988.54 : x
  2. Step 2: Convert to fraction form
    17,851.10/26,765.84 = 7,988.54/x
  3. Step 3: Cross multiply
    17,851.10x = 26,765.84 × 7,988.54
  4. Step 4: Simplify right side
    17,851.10x = 213,819,983.47
  5. Step 5: Solve for x
    x = 213,819,983.47/17,851.10
  6. Step 6: Final answer
    x = 11,977.97

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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.