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Finding the Fourth Proportional to 3,209, 4,813.38 and 804.72

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Solution

The fourth proportional to 3,209, 4,813.38 and 804.72 is: 1,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,813.38 = 804.72 : x
  2. Step 2: Convert to fraction form
    3,209/4,813.38 = 804.72/x
  3. Step 3: Cross multiply
    3,209x = 4,813.38 × 804.72
  4. Step 4: Simplify right side
    3,209x = 3,873,423.15
  5. Step 5: Solve for x
    x = 3,873,423.15/3,209
  6. Step 6: Final answer
    x = 1,207.05

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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.