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Finding the Fourth Proportional to 7,881.87, 11,826.93 and 5,107.83

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Solution

The fourth proportional to 7,881.87, 11,826.93 and 5,107.83 is: 7,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.87 : 11,826.93 = 5,107.83 : x
  2. Step 2: Convert to fraction form
    7,881.87/11,826.93 = 5,107.83/x
  3. Step 3: Cross multiply
    7,881.87x = 11,826.93 × 5,107.83
  4. Step 4: Simplify right side
    7,881.87x = 60,409,947.86
  5. Step 5: Solve for x
    x = 60,409,947.86/7,881.87
  6. Step 6: Final answer
    x = 7,664.42

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1.5x scale

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.