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Finding the Fourth Proportional to 40,402, 55,755 and 22,738

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Solution

The fourth proportional to 40,402, 55,755 and 22,738 is: 31,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402 : 55,755 = 22,738 : x
  2. Step 2: Convert to fraction form
    40,402/55,755 = 22,738/x
  3. Step 3: Cross multiply
    40,402x = 55,755 × 22,738
  4. Step 4: Simplify right side
    40,402x = 1,267,757,190
  5. Step 5: Solve for x
    x = 1,267,757,190/40,402
  6. Step 6: Final answer
    x = 31,378.58

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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.