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Finding the Fourth Proportional to 39,837.75, 54,978.72 and 23,070.75

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Solution

The fourth proportional to 39,837.75, 54,978.72 and 23,070.75 is: 31,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,837.75 : 54,978.72 = 23,070.75 : x
  2. Step 2: Convert to fraction form
    39,837.75/54,978.72 = 23,070.75/x
  3. Step 3: Cross multiply
    39,837.75x = 54,978.72 × 23,070.75
  4. Step 4: Simplify right side
    39,837.75x = 1,268,400,304.44
  5. Step 5: Solve for x
    x = 1,268,400,304.44/39,837.75
  6. Step 6: Final answer
    x = 31,839.16

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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.