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Finding the Fourth Proportional to 17,376, 23,978.88 and 9,418.20

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Solution

The fourth proportional to 17,376, 23,978.88 and 9,418.20 is: 12,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376 : 23,978.88 = 9,418.20 : x
  2. Step 2: Convert to fraction form
    17,376/23,978.88 = 9,418.20/x
  3. Step 3: Cross multiply
    17,376x = 23,978.88 × 9,418.20
  4. Step 4: Simplify right side
    17,376x = 225,837,887.62
  5. Step 5: Solve for x
    x = 225,837,887.62/17,376
  6. Step 6: Final answer
    x = 12,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.