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Finding the Fourth Proportional to 23,173.92, 31,980 and 12,563.88

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Solution

The fourth proportional to 23,173.92, 31,980 and 12,563.88 is: 17,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.92 : 31,980 = 12,563.88 : x
  2. Step 2: Convert to fraction form
    23,173.92/31,980 = 12,563.88/x
  3. Step 3: Cross multiply
    23,173.92x = 31,980 × 12,563.88
  4. Step 4: Simplify right side
    23,173.92x = 401,792,882.40
  5. Step 5: Solve for x
    x = 401,792,882.40/23,173.92
  6. Step 6: Final answer
    x = 17,338.15

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1.5x scale

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.