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Finding the Fourth Proportional to 23,172.82, 31,978.23 and 12,562.33

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Solution

The fourth proportional to 23,172.82, 31,978.23 and 12,562.33 is: 17,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.82 : 31,978.23 = 12,562.33 : x
  2. Step 2: Convert to fraction form
    23,172.82/31,978.23 = 12,562.33/x
  3. Step 3: Cross multiply
    23,172.82x = 31,978.23 × 12,562.33
  4. Step 4: Simplify right side
    23,172.82x = 401,721,078.08
  5. Step 5: Solve for x
    x = 401,721,078.08/23,172.82
  6. Step 6: Final answer
    x = 17,335.87

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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.