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Finding the Fourth Proportional to 40,419, 55,782 and 23,652

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Solution

The fourth proportional to 40,419, 55,782 and 23,652 is: 32,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,419 : 55,782 = 23,652 : x
  2. Step 2: Convert to fraction form
    40,419/55,782 = 23,652/x
  3. Step 3: Cross multiply
    40,419x = 55,782 × 23,652
  4. Step 4: Simplify right side
    40,419x = 1,319,355,864
  5. Step 5: Solve for x
    x = 1,319,355,864/40,419
  6. Step 6: Final answer
    x = 32,641.97

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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.