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Finding the Fourth Proportional to 39,046.01, 53,883.41 and 21,141

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Solution

The fourth proportional to 39,046.01, 53,883.41 and 21,141 is: 29,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046.01 : 53,883.41 = 21,141 : x
  2. Step 2: Convert to fraction form
    39,046.01/53,883.41 = 21,141/x
  3. Step 3: Cross multiply
    39,046.01x = 53,883.41 × 21,141
  4. Step 4: Simplify right side
    39,046.01x = 1,139,149,065.11
  5. Step 5: Solve for x
    x = 1,139,149,065.11/39,046.01
  6. Step 6: Final answer
    x = 29,174.54

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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.