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Finding the Fourth Proportional to 7,908.64, 11,859.24 and 4,622.68

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Solution

The fourth proportional to 7,908.64, 11,859.24 and 4,622.68 is: 6,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.64 : 11,859.24 = 4,622.68 : x
  2. Step 2: Convert to fraction form
    7,908.64/11,859.24 = 4,622.68/x
  3. Step 3: Cross multiply
    7,908.64x = 11,859.24 × 4,622.68
  4. Step 4: Simplify right side
    7,908.64x = 54,821,471.56
  5. Step 5: Solve for x
    x = 54,821,471.56/7,908.64
  6. Step 6: Final answer
    x = 6,931.85

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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.