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Finding the Fourth Proportional to 2,809.09, 4,214.47 and 834.78

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Solution

The fourth proportional to 2,809.09, 4,214.47 and 834.78 is: 1,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.09 : 4,214.47 = 834.78 : x
  2. Step 2: Convert to fraction form
    2,809.09/4,214.47 = 834.78/x
  3. Step 3: Cross multiply
    2,809.09x = 4,214.47 × 834.78
  4. Step 4: Simplify right side
    2,809.09x = 3,518,172.90
  5. Step 5: Solve for x
    x = 3,518,172.90/2,809.09
  6. Step 6: Final answer
    x = 1,252.42

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1.5x scale

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.