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Finding the Fourth Proportional to 27,978.20, 41,999.70 and 16,897.40

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Solution

The fourth proportional to 27,978.20, 41,999.70 and 16,897.40 is: 25,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.20 : 41,999.70 = 16,897.40 : x
  2. Step 2: Convert to fraction form
    27,978.20/41,999.70 = 16,897.40/x
  3. Step 3: Cross multiply
    27,978.20x = 41,999.70 × 16,897.40
  4. Step 4: Simplify right side
    27,978.20x = 709,685,730.78
  5. Step 5: Solve for x
    x = 709,685,730.78/27,978.20
  6. Step 6: Final answer
    x = 25,365.67

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1.5x scale

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.