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Finding the Fourth Proportional to 3,674.83, 5,513.07 and 1,209.55

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Solution

The fourth proportional to 3,674.83, 5,513.07 and 1,209.55 is: 1,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.83 : 5,513.07 = 1,209.55 : x
  2. Step 2: Convert to fraction form
    3,674.83/5,513.07 = 1,209.55/x
  3. Step 3: Cross multiply
    3,674.83x = 5,513.07 × 1,209.55
  4. Step 4: Simplify right side
    3,674.83x = 6,668,333.82
  5. Step 5: Solve for x
    x = 6,668,333.82/3,674.83
  6. Step 6: Final answer
    x = 1,814.60

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1.5x scale

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.