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Finding the Fourth Proportional to 3,412.89, 4,709.61 and 1,920.87

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Solution

The fourth proportional to 3,412.89, 4,709.61 and 1,920.87 is: 2,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.89 : 4,709.61 = 1,920.87 : x
  2. Step 2: Convert to fraction form
    3,412.89/4,709.61 = 1,920.87/x
  3. Step 3: Cross multiply
    3,412.89x = 4,709.61 × 1,920.87
  4. Step 4: Simplify right side
    3,412.89x = 9,046,548.56
  5. Step 5: Solve for x
    x = 9,046,548.56/3,412.89
  6. Step 6: Final answer
    x = 2,650.70

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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.