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Finding the Fourth Proportional to 39,858.50, 55,007.23 and 21,953.50

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Solution

The fourth proportional to 39,858.50, 55,007.23 and 21,953.50 is: 30,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858.50 : 55,007.23 = 21,953.50 : x
  2. Step 2: Convert to fraction form
    39,858.50/55,007.23 = 21,953.50/x
  3. Step 3: Cross multiply
    39,858.50x = 55,007.23 × 21,953.50
  4. Step 4: Simplify right side
    39,858.50x = 1,207,601,114.04
  5. Step 5: Solve for x
    x = 1,207,601,114.04/39,858.50
  6. Step 6: Final answer
    x = 30,297.20

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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.