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Finding the Fourth Proportional to 40,418, 55,776.84 and 22,754

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Solution

The fourth proportional to 40,418, 55,776.84 and 22,754 is: 31,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,418 : 55,776.84 = 22,754 : x
  2. Step 2: Convert to fraction form
    40,418/55,776.84 = 22,754/x
  3. Step 3: Cross multiply
    40,418x = 55,776.84 × 22,754
  4. Step 4: Simplify right side
    40,418x = 1,269,146,217.36
  5. Step 5: Solve for x
    x = 1,269,146,217.36/40,418
  6. Step 6: Final answer
    x = 31,400.52

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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.