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Finding the Fourth Proportional to 23,556, 32,505.84 and 12,945.36

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Solution

The fourth proportional to 23,556, 32,505.84 and 12,945.36 is: 17,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556 : 32,505.84 = 12,945.36 : x
  2. Step 2: Convert to fraction form
    23,556/32,505.84 = 12,945.36/x
  3. Step 3: Cross multiply
    23,556x = 32,505.84 × 12,945.36
  4. Step 4: Simplify right side
    23,556x = 420,799,800.90
  5. Step 5: Solve for x
    x = 420,799,800.90/23,556
  6. Step 6: Final answer
    x = 17,863.81

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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.