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Finding the Fourth Proportional to 17,978.68, 26,965.50 and 7,588

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Solution

The fourth proportional to 17,978.68, 26,965.50 and 7,588 is: 11,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.68 : 26,965.50 = 7,588 : x
  2. Step 2: Convert to fraction form
    17,978.68/26,965.50 = 7,588/x
  3. Step 3: Cross multiply
    17,978.68x = 26,965.50 × 7,588
  4. Step 4: Simplify right side
    17,978.68x = 204,614,214
  5. Step 5: Solve for x
    x = 204,614,214/17,978.68
  6. Step 6: Final answer
    x = 11,380.94

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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.