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Finding the Fourth Proportional to 2,438.82, 3,658.83 and 1,206.81

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Solution

The fourth proportional to 2,438.82, 3,658.83 and 1,206.81 is: 1,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.82 : 3,658.83 = 1,206.81 : x
  2. Step 2: Convert to fraction form
    2,438.82/3,658.83 = 1,206.81/x
  3. Step 3: Cross multiply
    2,438.82x = 3,658.83 × 1,206.81
  4. Step 4: Simplify right side
    2,438.82x = 4,415,512.63
  5. Step 5: Solve for x
    x = 4,415,512.63/2,438.82
  6. Step 6: Final answer
    x = 1,810.51

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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.