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Finding the Fourth Proportional to 27,970.10, 41,978.10 and 27,751.40

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Solution

The fourth proportional to 27,970.10, 41,978.10 and 27,751.40 is: 41,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.10 : 41,978.10 = 27,751.40 : x
  2. Step 2: Convert to fraction form
    27,970.10/41,978.10 = 27,751.40/x
  3. Step 3: Cross multiply
    27,970.10x = 41,978.10 × 27,751.40
  4. Step 4: Simplify right side
    27,970.10x = 1,164,951,044.34
  5. Step 5: Solve for x
    x = 1,164,951,044.34/27,970.10
  6. Step 6: Final answer
    x = 41,649.87

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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.