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Finding the Fourth Proportional to 13,828,009.60, 20,735,793.60 and 5,305,513.60

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Solution

The fourth proportional to 13,828,009.60, 20,735,793.60 and 5,305,513.60 is: 7,955,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,009.60 : 20,735,793.60 = 5,305,513.60 : x
  2. Step 2: Convert to fraction form
    13,828,009.60/20,735,793.60 = 5,305,513.60/x
  3. Step 3: Cross multiply
    13,828,009.60x = 20,735,793.60 × 5,305,513.60
  4. Step 4: Simplify right side
    13,828,009.60x = 110,014,034,951,592.95
  5. Step 5: Solve for x
    x = 110,014,034,951,592.95/13,828,009.60
  6. Step 6: Final answer
    x = 7,955,883.61

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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.