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Finding the Fourth Proportional to 3,209.86, 4,815.19 and 1,017.80

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Solution

The fourth proportional to 3,209.86, 4,815.19 and 1,017.80 is: 1,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.86 : 4,815.19 = 1,017.80 : x
  2. Step 2: Convert to fraction form
    3,209.86/4,815.19 = 1,017.80/x
  3. Step 3: Cross multiply
    3,209.86x = 4,815.19 × 1,017.80
  4. Step 4: Simplify right side
    3,209.86x = 4,900,900.38
  5. Step 5: Solve for x
    x = 4,900,900.38/3,209.86
  6. Step 6: Final answer
    x = 1,526.83

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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.