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Finding the Fourth Proportional to 7,868.64, 11,793.36 and 3,703.20

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Solution

The fourth proportional to 7,868.64, 11,793.36 and 3,703.20 is: 5,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.64 : 11,793.36 = 3,703.20 : x
  2. Step 2: Convert to fraction form
    7,868.64/11,793.36 = 3,703.20/x
  3. Step 3: Cross multiply
    7,868.64x = 11,793.36 × 3,703.20
  4. Step 4: Simplify right side
    7,868.64x = 43,673,170.75
  5. Step 5: Solve for x
    x = 43,673,170.75/7,868.64
  6. Step 6: Final answer
    x = 5,550.28

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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.