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Finding the Fourth Proportional to 40,340, 55,669.20 and 22,676

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Solution

The fourth proportional to 40,340, 55,669.20 and 22,676 is: 31,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,340 : 55,669.20 = 22,676 : x
  2. Step 2: Convert to fraction form
    40,340/55,669.20 = 22,676/x
  3. Step 3: Cross multiply
    40,340x = 55,669.20 × 22,676
  4. Step 4: Simplify right side
    40,340x = 1,262,354,779.20
  5. Step 5: Solve for x
    x = 1,262,354,779.20/40,340
  6. Step 6: Final answer
    x = 31,292.88

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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.