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Finding the Fourth Proportional to 3,218.04, 4,826.52 and 909

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Solution

The fourth proportional to 3,218.04, 4,826.52 and 909 is: 1,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.04 : 4,826.52 = 909 : x
  2. Step 2: Convert to fraction form
    3,218.04/4,826.52 = 909/x
  3. Step 3: Cross multiply
    3,218.04x = 4,826.52 × 909
  4. Step 4: Simplify right side
    3,218.04x = 4,387,306.68
  5. Step 5: Solve for x
    x = 4,387,306.68/3,218.04
  6. Step 6: Final answer
    x = 1,363.35

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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.