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Finding the Fourth Proportional to 28,917.60, 43,376.40 and 8,138.40

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Solution

The fourth proportional to 28,917.60, 43,376.40 and 8,138.40 is: 12,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,917.60 : 43,376.40 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    28,917.60/43,376.40 = 8,138.40/x
  3. Step 3: Cross multiply
    28,917.60x = 43,376.40 × 8,138.40
  4. Step 4: Simplify right side
    28,917.60x = 353,014,493.76
  5. Step 5: Solve for x
    x = 353,014,493.76/28,917.60
  6. Step 6: Final answer
    x = 12,207.60

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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.