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Finding the Fourth Proportional to 22,911, 31,617.18 and 12,975

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Solution

The fourth proportional to 22,911, 31,617.18 and 12,975 is: 17,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911 : 31,617.18 = 12,975 : x
  2. Step 2: Convert to fraction form
    22,911/31,617.18 = 12,975/x
  3. Step 3: Cross multiply
    22,911x = 31,617.18 × 12,975
  4. Step 4: Simplify right side
    22,911x = 410,232,910.50
  5. Step 5: Solve for x
    x = 410,232,910.50/22,911
  6. Step 6: Final answer
    x = 17,905.50

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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.