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Finding the Fourth Proportional to 39,840.57, 54,978.75 and 21,933.90

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Solution

The fourth proportional to 39,840.57, 54,978.75 and 21,933.90 is: 30,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,840.57 : 54,978.75 = 21,933.90 : x
  2. Step 2: Convert to fraction form
    39,840.57/54,978.75 = 21,933.90/x
  3. Step 3: Cross multiply
    39,840.57x = 54,978.75 × 21,933.90
  4. Step 4: Simplify right side
    39,840.57x = 1,205,898,404.63
  5. Step 5: Solve for x
    x = 1,205,898,404.63/39,840.57
  6. Step 6: Final answer
    x = 30,268.10

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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.