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Finding the Fourth Proportional to 3,670.68, 5,509.08 and 3,440.04

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Solution

The fourth proportional to 3,670.68, 5,509.08 and 3,440.04 is: 5,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.68 : 5,509.08 = 3,440.04 : x
  2. Step 2: Convert to fraction form
    3,670.68/5,509.08 = 3,440.04/x
  3. Step 3: Cross multiply
    3,670.68x = 5,509.08 × 3,440.04
  4. Step 4: Simplify right side
    3,670.68x = 18,951,455.56
  5. Step 5: Solve for x
    x = 18,951,455.56/3,670.68
  6. Step 6: Final answer
    x = 5,162.93

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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.