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Finding the Fourth Proportional to 35,985.58, 53,978.13 and 27,680.38

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Solution

The fourth proportional to 35,985.58, 53,978.13 and 27,680.38 is: 41,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985.58 : 53,978.13 = 27,680.38 : x
  2. Step 2: Convert to fraction form
    35,985.58/53,978.13 = 27,680.38/x
  3. Step 3: Cross multiply
    35,985.58x = 53,978.13 × 27,680.38
  4. Step 4: Simplify right side
    35,985.58x = 1,494,135,150.09
  5. Step 5: Solve for x
    x = 1,494,135,150.09/35,985.58
  6. Step 6: Final answer
    x = 41,520.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.