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Finding the Fourth Proportional to 13,978.76, 20,917.88 and 10,271.78

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Solution

The fourth proportional to 13,978.76, 20,917.88 and 10,271.78 is: 15,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.76 : 20,917.88 = 10,271.78 : x
  2. Step 2: Convert to fraction form
    13,978.76/20,917.88 = 10,271.78/x
  3. Step 3: Cross multiply
    13,978.76x = 20,917.88 × 10,271.78
  4. Step 4: Simplify right side
    13,978.76x = 214,863,861.43
  5. Step 5: Solve for x
    x = 214,863,861.43/13,978.76
  6. Step 6: Final answer
    x = 15,370.74

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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.