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Finding the Fourth Proportional to 3,412.50, 4,709.16 and 1,920.42

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Solution

The fourth proportional to 3,412.50, 4,709.16 and 1,920.42 is: 2,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.50 : 4,709.16 = 1,920.42 : x
  2. Step 2: Convert to fraction form
    3,412.50/4,709.16 = 1,920.42/x
  3. Step 3: Cross multiply
    3,412.50x = 4,709.16 × 1,920.42
  4. Step 4: Simplify right side
    3,412.50x = 9,043,565.05
  5. Step 5: Solve for x
    x = 9,043,565.05/3,412.50
  6. Step 6: Final answer
    x = 2,650.13

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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.