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Finding the Fourth Proportional to 3,681.81, 5,518.71 and 1,834.29

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Solution

The fourth proportional to 3,681.81, 5,518.71 and 1,834.29 is: 2,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.81 : 5,518.71 = 1,834.29 : x
  2. Step 2: Convert to fraction form
    3,681.81/5,518.71 = 1,834.29/x
  3. Step 3: Cross multiply
    3,681.81x = 5,518.71 × 1,834.29
  4. Step 4: Simplify right side
    3,681.81x = 10,122,914.57
  5. Step 5: Solve for x
    x = 10,122,914.57/3,681.81
  6. Step 6: Final answer
    x = 2,749.44

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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.