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Finding the Fourth Proportional to 12,912.60, 19,363.98 and 5,520.48

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Solution

The fourth proportional to 12,912.60, 19,363.98 and 5,520.48 is: 8,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.60 : 19,363.98 = 5,520.48 : x
  2. Step 2: Convert to fraction form
    12,912.60/19,363.98 = 5,520.48/x
  3. Step 3: Cross multiply
    12,912.60x = 19,363.98 × 5,520.48
  4. Step 4: Simplify right side
    12,912.60x = 106,898,464.31
  5. Step 5: Solve for x
    x = 106,898,464.31/12,912.60
  6. Step 6: Final answer
    x = 8,278.62

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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.