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Finding the Fourth Proportional to 4,880, 6,722.52 and 3,699.92

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Solution

The fourth proportional to 4,880, 6,722.52 and 3,699.92 is: 5,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880 : 6,722.52 = 3,699.92 : x
  2. Step 2: Convert to fraction form
    4,880/6,722.52 = 3,699.92/x
  3. Step 3: Cross multiply
    4,880x = 6,722.52 × 3,699.92
  4. Step 4: Simplify right side
    4,880x = 24,872,786.20
  5. Step 5: Solve for x
    x = 24,872,786.20/4,880
  6. Step 6: Final answer
    x = 5,096.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.