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Finding the Fourth Proportional to 7,856.94, 11,793.61 and 3,477.48

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Solution

The fourth proportional to 7,856.94, 11,793.61 and 3,477.48 is: 5,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.94 : 11,793.61 = 3,477.48 : x
  2. Step 2: Convert to fraction form
    7,856.94/11,793.61 = 3,477.48/x
  3. Step 3: Cross multiply
    7,856.94x = 11,793.61 × 3,477.48
  4. Step 4: Simplify right side
    7,856.94x = 41,011,983.93
  5. Step 5: Solve for x
    x = 41,011,983.93/7,856.94
  6. Step 6: Final answer
    x = 5,219.84

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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.