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Finding the Fourth Proportional to 39,944, 55,122.72 and 22,280

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Solution

The fourth proportional to 39,944, 55,122.72 and 22,280 is: 30,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,944 : 55,122.72 = 22,280 : x
  2. Step 2: Convert to fraction form
    39,944/55,122.72 = 22,280/x
  3. Step 3: Cross multiply
    39,944x = 55,122.72 × 22,280
  4. Step 4: Simplify right side
    39,944x = 1,228,134,201.60
  5. Step 5: Solve for x
    x = 1,228,134,201.60/39,944
  6. Step 6: Final answer
    x = 30,746.40

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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.