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Finding the Fourth Proportional to 17,658.98, 26,478.09 and 7,129.34

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Solution

The fourth proportional to 17,658.98, 26,478.09 and 7,129.34 is: 10,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.98 : 26,478.09 = 7,129.34 : x
  2. Step 2: Convert to fraction form
    17,658.98/26,478.09 = 7,129.34/x
  3. Step 3: Cross multiply
    17,658.98x = 26,478.09 × 7,129.34
  4. Step 4: Simplify right side
    17,658.98x = 188,771,422.00
  5. Step 5: Solve for x
    x = 188,771,422.00/17,658.98
  6. Step 6: Final answer
    x = 10,689.83

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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.