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Finding the Fourth Proportional to 3,404.63, 4,697.79 and 1,912.61

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Solution

The fourth proportional to 3,404.63, 4,697.79 and 1,912.61 is: 2,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.63 : 4,697.79 = 1,912.61 : x
  2. Step 2: Convert to fraction form
    3,404.63/4,697.79 = 1,912.61/x
  3. Step 3: Cross multiply
    3,404.63x = 4,697.79 × 1,912.61
  4. Step 4: Simplify right side
    3,404.63x = 8,985,040.13
  5. Step 5: Solve for x
    x = 8,985,040.13/3,404.63
  6. Step 6: Final answer
    x = 2,639.07

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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.