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Finding the Fourth Proportional to 39,636, 54,697.68 and 22,869

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Solution

The fourth proportional to 39,636, 54,697.68 and 22,869 is: 31,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,636 : 54,697.68 = 22,869 : x
  2. Step 2: Convert to fraction form
    39,636/54,697.68 = 22,869/x
  3. Step 3: Cross multiply
    39,636x = 54,697.68 × 22,869
  4. Step 4: Simplify right side
    39,636x = 1,250,881,243.92
  5. Step 5: Solve for x
    x = 1,250,881,243.92/39,636
  6. Step 6: Final answer
    x = 31,559.22

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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.