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Finding the Fourth Proportional to 20,276.56, 27,978.24 and 11,323.72

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Solution

The fourth proportional to 20,276.56, 27,978.24 and 11,323.72 is: 15,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.56 : 27,978.24 = 11,323.72 : x
  2. Step 2: Convert to fraction form
    20,276.56/27,978.24 = 11,323.72/x
  3. Step 3: Cross multiply
    20,276.56x = 27,978.24 × 11,323.72
  4. Step 4: Simplify right side
    20,276.56x = 316,817,755.85
  5. Step 5: Solve for x
    x = 316,817,755.85/20,276.56
  6. Step 6: Final answer
    x = 15,624.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.