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Finding the Fourth Proportional to 27,985.40, 41,978.10 and 27,693.80

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Solution

The fourth proportional to 27,985.40, 41,978.10 and 27,693.80 is: 41,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.40 : 41,978.10 = 27,693.80 : x
  2. Step 2: Convert to fraction form
    27,985.40/41,978.10 = 27,693.80/x
  3. Step 3: Cross multiply
    27,985.40x = 41,978.10 × 27,693.80
  4. Step 4: Simplify right side
    27,985.40x = 1,162,533,105.78
  5. Step 5: Solve for x
    x = 1,162,533,105.78/27,985.40
  6. Step 6: Final answer
    x = 41,540.70

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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.