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Finding the Fourth Proportional to 39,946, 55,125.48 and 22,282

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Solution

The fourth proportional to 39,946, 55,125.48 and 22,282 is: 30,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946 : 55,125.48 = 22,282 : x
  2. Step 2: Convert to fraction form
    39,946/55,125.48 = 22,282/x
  3. Step 3: Cross multiply
    39,946x = 55,125.48 × 22,282
  4. Step 4: Simplify right side
    39,946x = 1,228,305,945.36
  5. Step 5: Solve for x
    x = 1,228,305,945.36/39,946
  6. Step 6: Final answer
    x = 30,749.16

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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.