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Finding the Fourth Proportional to 3,209.23, 4,813.85 and 1,018

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Solution

The fourth proportional to 3,209.23, 4,813.85 and 1,018 is: 1,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.23 : 4,813.85 = 1,018 : x
  2. Step 2: Convert to fraction form
    3,209.23/4,813.85 = 1,018/x
  3. Step 3: Cross multiply
    3,209.23x = 4,813.85 × 1,018
  4. Step 4: Simplify right side
    3,209.23x = 4,900,499.30
  5. Step 5: Solve for x
    x = 4,900,499.30/3,209.23
  6. Step 6: Final answer
    x = 1,527.00

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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.