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Finding the Fourth Proportional to 3,670.59, 5,506.49 and 1,205.43

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Solution

The fourth proportional to 3,670.59, 5,506.49 and 1,205.43 is: 1,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.59 : 5,506.49 = 1,205.43 : x
  2. Step 2: Convert to fraction form
    3,670.59/5,506.49 = 1,205.43/x
  3. Step 3: Cross multiply
    3,670.59x = 5,506.49 × 1,205.43
  4. Step 4: Simplify right side
    3,670.59x = 6,637,682.21
  5. Step 5: Solve for x
    x = 6,637,682.21/3,670.59
  6. Step 6: Final answer
    x = 1,808.34

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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.