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Finding the Fourth Proportional to 39,453, 54,446.76 and 22,686

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Solution

The fourth proportional to 39,453, 54,446.76 and 22,686 is: 31,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,453 : 54,446.76 = 22,686 : x
  2. Step 2: Convert to fraction form
    39,453/54,446.76 = 22,686/x
  3. Step 3: Cross multiply
    39,453x = 54,446.76 × 22,686
  4. Step 4: Simplify right side
    39,453x = 1,235,179,197.36
  5. Step 5: Solve for x
    x = 1,235,179,197.36/39,453
  6. Step 6: Final answer
    x = 31,307.61

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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.